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Finding the Third Proportional to 180,432 and 387,744

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Solution

The third proportional to 180,432 and 387,744 is: 833,252.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    180,432 : 387,744 = 387,744 : x
  2. Step 2: Convert to fraction form
    180,432/387,744 = 387,744/x
  3. Step 3: Cross multiply
    180,432x = 387,744 × 387,744
  4. Step 4: Simplify right side
    180,432x = 150,345,409,536
  5. Step 5: Solve for x
    x = 150,345,409,536/180,432
  6. Step 6: Final answer
    x = 833,252.47

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.