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Finding the Third Proportional to 82,440 and 180,432

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Solution

The third proportional to 82,440 and 180,432 is: 394,901.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,440 : 180,432 = 180,432 : x
  2. Step 2: Convert to fraction form
    82,440/180,432 = 180,432/x
  3. Step 3: Cross multiply
    82,440x = 180,432 × 180,432
  4. Step 4: Simplify right side
    82,440x = 32,555,706,624
  5. Step 5: Solve for x
    x = 32,555,706,624/82,440
  6. Step 6: Final answer
    x = 394,901.83

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.