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Finding the Third Proportional to 20,280 and 27,127

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Solution

The third proportional to 20,280 and 27,127 is: 36,285.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,280 : 27,127 = 27,127 : x
  2. Step 2: Convert to fraction form
    20,280/27,127 = 27,127/x
  3. Step 3: Cross multiply
    20,280x = 27,127 × 27,127
  4. Step 4: Simplify right side
    20,280x = 735,874,129
  5. Step 5: Solve for x
    x = 735,874,129/20,280
  6. Step 6: Final answer
    x = 36,285.71

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Why These Related Problems?

These problems maintain the same ratio (1.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.