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Finding the Third Proportional to 157,988.25 and 329,103

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Solution

The third proportional to 157,988.25 and 329,103 is: 685,549.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    157,988.25 : 329,103 = 329,103 : x
  2. Step 2: Convert to fraction form
    157,988.25/329,103 = 329,103/x
  3. Step 3: Cross multiply
    157,988.25x = 329,103 × 329,103
  4. Step 4: Simplify right side
    157,988.25x = 108,308,784,609
  5. Step 5: Solve for x
    x = 108,308,784,609/157,988.25
  6. Step 6: Final answer
    x = 685,549.62

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.