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Finding the Third Proportional to 502,400 and 758,720

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Solution

The third proportional to 502,400 and 758,720 is: 1,145,812.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    502,400 : 758,720 = 758,720 : x
  2. Step 2: Convert to fraction form
    502,400/758,720 = 758,720/x
  3. Step 3: Cross multiply
    502,400x = 758,720 × 758,720
  4. Step 4: Simplify right side
    502,400x = 575,656,038,400
  5. Step 5: Solve for x
    x = 575,656,038,400/502,400
  6. Step 6: Final answer
    x = 1,145,812.18

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.