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Finding the Third Proportional to 159,691.50 and 345,681

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Solution

The third proportional to 159,691.50 and 345,681 is: 748,288.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    159,691.50 : 345,681 = 345,681 : x
  2. Step 2: Convert to fraction form
    159,691.50/345,681 = 345,681/x
  3. Step 3: Cross multiply
    159,691.50x = 345,681 × 345,681
  4. Step 4: Simplify right side
    159,691.50x = 119,495,353,761
  5. Step 5: Solve for x
    x = 119,495,353,761/159,691.50
  6. Step 6: Final answer
    x = 748,288.76

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.