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Finding the Third Proportional to 39,432 and 84,396

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Solution

The third proportional to 39,432 and 84,396 is: 180,632.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    39,432 : 84,396 = 84,396 : x
  2. Step 2: Convert to fraction form
    39,432/84,396 = 84,396/x
  3. Step 3: Cross multiply
    39,432x = 84,396 × 84,396
  4. Step 4: Simplify right side
    39,432x = 7,122,684,816
  5. Step 5: Solve for x
    x = 7,122,684,816/39,432
  6. Step 6: Final answer
    x = 180,632.10

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.