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Finding the Third Proportional to 157,918 and 342,439

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Solution

The third proportional to 157,918 and 342,439 is: 742,565.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    157,918 : 342,439 = 342,439 : x
  2. Step 2: Convert to fraction form
    157,918/342,439 = 342,439/x
  3. Step 3: Cross multiply
    157,918x = 342,439 × 342,439
  4. Step 4: Simplify right side
    157,918x = 117,264,468,721
  5. Step 5: Solve for x
    x = 117,264,468,721/157,918
  6. Step 6: Final answer
    x = 742,565.56

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.