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Finding the Third Proportional to 27,866 and 42,771

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Solution

The third proportional to 27,866 and 42,771 is: 65,648.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,866 : 42,771 = 42,771 : x
  2. Step 2: Convert to fraction form
    27,866/42,771 = 42,771/x
  3. Step 3: Cross multiply
    27,866x = 42,771 × 42,771
  4. Step 4: Simplify right side
    27,866x = 1,829,358,441
  5. Step 5: Solve for x
    x = 1,829,358,441/27,866
  6. Step 6: Final answer
    x = 65,648.40

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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.