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Finding the Third Proportional to 39,672 and 83,432

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Solution

The third proportional to 39,672 and 83,432 is: 175,461.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    39,672 : 83,432 = 83,432 : x
  2. Step 2: Convert to fraction form
    39,672/83,432 = 83,432/x
  3. Step 3: Cross multiply
    39,672x = 83,432 × 83,432
  4. Step 4: Simplify right side
    39,672x = 6,960,898,624
  5. Step 5: Solve for x
    x = 6,960,898,624/39,672
  6. Step 6: Final answer
    x = 175,461.25

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Why These Related Problems?

These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.