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Finding the Third Proportional to 132,288 and 284,880

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Solution

The third proportional to 132,288 and 284,880 is: 613,484.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    132,288 : 284,880 = 284,880 : x
  2. Step 2: Convert to fraction form
    132,288/284,880 = 284,880/x
  3. Step 3: Cross multiply
    132,288x = 284,880 × 284,880
  4. Step 4: Simplify right side
    132,288x = 81,156,614,400
  5. Step 5: Solve for x
    x = 81,156,614,400/132,288
  6. Step 6: Final answer
    x = 613,484.33

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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.