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Finding the Third Proportional to 157,272 and 329,124

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Solution

The third proportional to 157,272 and 329,124 is: 688,759.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    157,272 : 329,124 = 329,124 : x
  2. Step 2: Convert to fraction form
    157,272/329,124 = 329,124/x
  3. Step 3: Cross multiply
    157,272x = 329,124 × 329,124
  4. Step 4: Simplify right side
    157,272x = 108,322,607,376
  5. Step 5: Solve for x
    x = 108,322,607,376/157,272
  6. Step 6: Final answer
    x = 688,759.65

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Why These Related Problems?

These problems maintain the same ratio (2.09) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.