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Finding the Third Proportional to 85,874 and 136,730

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Solution

The third proportional to 85,874 and 136,730 is: 217,703.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    85,874 : 136,730 = 136,730 : x
  2. Step 2: Convert to fraction form
    85,874/136,730 = 136,730/x
  3. Step 3: Cross multiply
    85,874x = 136,730 × 136,730
  4. Step 4: Simplify right side
    85,874x = 18,695,092,900
  5. Step 5: Solve for x
    x = 18,695,092,900/85,874
  6. Step 6: Final answer
    x = 217,703.76

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.