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Finding the Third Proportional to 340,670 and 716,620

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Solution

The third proportional to 340,670 and 716,620 is: 1,507,453.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    340,670 : 716,620 = 716,620 : x
  2. Step 2: Convert to fraction form
    340,670/716,620 = 716,620/x
  3. Step 3: Cross multiply
    340,670x = 716,620 × 716,620
  4. Step 4: Simplify right side
    340,670x = 513,544,224,400
  5. Step 5: Solve for x
    x = 513,544,224,400/340,670
  6. Step 6: Final answer
    x = 1,507,453.62

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Why These Related Problems?

These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.