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Finding the Third Proportional to 242,682,380 and 343,388,128

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Solution

The third proportional to 242,682,380 and 343,388,128 is: 485,883,674.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    242,682,380 : 343,388,128 = 343,388,128 : x
  2. Step 2: Convert to fraction form
    242,682,380/343,388,128 = 343,388,128/x
  3. Step 3: Cross multiply
    242,682,380x = 343,388,128 × 343,388,128
  4. Step 4: Simplify right side
    242,682,380x = 117,915,406,451,344,384
  5. Step 5: Solve for x
    x = 117,915,406,451,344,384/242,682,380
  6. Step 6: Final answer
    x = 485,883,674.17

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Why These Related Problems?

These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.