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Finding the Third Proportional to 340,716,395,313 and 735,833,577,332.25

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Solution

The third proportional to 340,716,395,313 and 735,833,577,332.25 is: 1,589,154,678,136.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    340,716,395,313 : 735,833,577,332.25 = 735,833,577,332.25 : x
  2. Step 2: Convert to fraction form
    340,716,395,313/735,833,577,332.25 = 735,833,577,332.25/x
  3. Step 3: Cross multiply
    340,716,395,313x = 735,833,577,332.25 × 735,833,577,332.25
  4. Step 4: Simplify right side
    340,716,395,313x = 541,451,053,529,576,339,668,992
  5. Step 5: Solve for x
    x = 541,451,053,529,576,339,668,992/340,716,395,313
  6. Step 6: Final answer
    x = 1,589,154,678,136.84

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.