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Finding the Third Proportional to 27,909 and 43,776

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Solution

The third proportional to 27,909 and 43,776 is: 68,663.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,909 : 43,776 = 43,776 : x
  2. Step 2: Convert to fraction form
    27,909/43,776 = 43,776/x
  3. Step 3: Cross multiply
    27,909x = 43,776 × 43,776
  4. Step 4: Simplify right side
    27,909x = 1,916,338,176
  5. Step 5: Solve for x
    x = 1,916,338,176/27,909
  6. Step 6: Final answer
    x = 68,663.81

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Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.