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Finding the Third Proportional to 39,672 and 84,432

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Solution

The third proportional to 39,672 and 84,432 is: 179,692.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    39,672 : 84,432 = 84,432 : x
  2. Step 2: Convert to fraction form
    39,672/84,432 = 84,432/x
  3. Step 3: Cross multiply
    39,672x = 84,432 × 84,432
  4. Step 4: Simplify right side
    39,672x = 7,128,762,624
  5. Step 5: Solve for x
    x = 7,128,762,624/39,672
  6. Step 6: Final answer
    x = 179,692.54

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.