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Finding the Third Proportional to 27,957 and 42,909

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Solution

The third proportional to 27,957 and 42,909 is: 65,857.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,957 : 42,909 = 42,909 : x
  2. Step 2: Convert to fraction form
    27,957/42,909 = 42,909/x
  3. Step 3: Cross multiply
    27,957x = 42,909 × 42,909
  4. Step 4: Simplify right side
    27,957x = 1,841,182,281
  5. Step 5: Solve for x
    x = 1,841,182,281/27,957
  6. Step 6: Final answer
    x = 65,857.65

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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.