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Finding the Third Proportional to 142,702 and 337,478

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Solution

The third proportional to 142,702 and 337,478 is: 798,106.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    142,702 : 337,478 = 337,478 : x
  2. Step 2: Convert to fraction form
    142,702/337,478 = 337,478/x
  3. Step 3: Cross multiply
    142,702x = 337,478 × 337,478
  4. Step 4: Simplify right side
    142,702x = 113,891,400,484
  5. Step 5: Solve for x
    x = 113,891,400,484/142,702
  6. Step 6: Final answer
    x = 798,106.55

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Why These Related Problems?

These problems maintain the same ratio (2.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.