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Finding the Third Proportional to 20,160 and 38,781

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Solution

The third proportional to 20,160 and 38,781 is: 74,601.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,160 : 38,781 = 38,781 : x
  2. Step 2: Convert to fraction form
    20,160/38,781 = 38,781/x
  3. Step 3: Cross multiply
    20,160x = 38,781 × 38,781
  4. Step 4: Simplify right side
    20,160x = 1,503,965,961
  5. Step 5: Solve for x
    x = 1,503,965,961/20,160
  6. Step 6: Final answer
    x = 74,601.49

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Why These Related Problems?

These problems maintain the same ratio (1.92) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.