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Finding the Third Proportional to 70,691 and 153,654

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Solution

The third proportional to 70,691 and 153,654 is: 333,982.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    70,691 : 153,654 = 153,654 : x
  2. Step 2: Convert to fraction form
    70,691/153,654 = 153,654/x
  3. Step 3: Cross multiply
    70,691x = 153,654 × 153,654
  4. Step 4: Simplify right side
    70,691x = 23,609,551,716
  5. Step 5: Solve for x
    x = 23,609,551,716/70,691
  6. Step 6: Final answer
    x = 333,982.43

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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.