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Finding the Third Proportional to 91,957 and 140,609

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Solution

The third proportional to 91,957 and 140,609 is: 215,001.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    91,957 : 140,609 = 140,609 : x
  2. Step 2: Convert to fraction form
    91,957/140,609 = 140,609/x
  3. Step 3: Cross multiply
    91,957x = 140,609 × 140,609
  4. Step 4: Simplify right side
    91,957x = 19,770,890,881
  5. Step 5: Solve for x
    x = 19,770,890,881/91,957
  6. Step 6: Final answer
    x = 215,001.48

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.