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Finding the Third Proportional to 157,281 and 329,142

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Solution

The third proportional to 157,281 and 329,142 is: 688,795.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    157,281 : 329,142 = 329,142 : x
  2. Step 2: Convert to fraction form
    157,281/329,142 = 329,142/x
  3. Step 3: Cross multiply
    157,281x = 329,142 × 329,142
  4. Step 4: Simplify right side
    157,281x = 108,334,456,164
  5. Step 5: Solve for x
    x = 108,334,456,164/157,281
  6. Step 6: Final answer
    x = 688,795.57

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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.