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Finding the Third Proportional to 81,432 and 176,784

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Solution

The third proportional to 81,432 and 176,784 is: 383,787.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    81,432 : 176,784 = 176,784 : x
  2. Step 2: Convert to fraction form
    81,432/176,784 = 176,784/x
  3. Step 3: Cross multiply
    81,432x = 176,784 × 176,784
  4. Step 4: Simplify right side
    81,432x = 31,252,582,656
  5. Step 5: Solve for x
    x = 31,252,582,656/81,432
  6. Step 6: Final answer
    x = 383,787.49

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.