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Finding the Third Proportional to 20,128 and 38,432

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Solution

The third proportional to 20,128 and 38,432 is: 73,381.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,128 : 38,432 = 38,432 : x
  2. Step 2: Convert to fraction form
    20,128/38,432 = 38,432/x
  3. Step 3: Cross multiply
    20,128x = 38,432 × 38,432
  4. Step 4: Simplify right side
    20,128x = 1,477,018,624
  5. Step 5: Solve for x
    x = 1,477,018,624/20,128
  6. Step 6: Final answer
    x = 73,381.29

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Why These Related Problems?

These problems maintain the same ratio (1.91) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.