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Finding the Third Proportional to 11,566 and 15,377

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Solution

The third proportional to 11,566 and 15,377 is: 20,443.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,566 : 15,377 = 15,377 : x
  2. Step 2: Convert to fraction form
    11,566/15,377 = 15,377/x
  3. Step 3: Cross multiply
    11,566x = 15,377 × 15,377
  4. Step 4: Simplify right side
    11,566x = 236,452,129
  5. Step 5: Solve for x
    x = 236,452,129/11,566
  6. Step 6: Final answer
    x = 20,443.73

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Why These Related Problems?

These problems maintain the same ratio (1.33) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.