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Finding the Third Proportional to 20,691 and 28,560

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Solution

The third proportional to 20,691 and 28,560 is: 39,421.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,691 : 28,560 = 28,560 : x
  2. Step 2: Convert to fraction form
    20,691/28,560 = 28,560/x
  3. Step 3: Cross multiply
    20,691x = 28,560 × 28,560
  4. Step 4: Simplify right side
    20,691x = 815,673,600
  5. Step 5: Solve for x
    x = 815,673,600/20,691
  6. Step 6: Final answer
    x = 39,421.66

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.