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Finding the Third Proportional to 132,240.75 and 284,367

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Solution

The third proportional to 132,240.75 and 284,367 is: 611,495.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    132,240.75 : 284,367 = 284,367 : x
  2. Step 2: Convert to fraction form
    132,240.75/284,367 = 284,367/x
  3. Step 3: Cross multiply
    132,240.75x = 284,367 × 284,367
  4. Step 4: Simplify right side
    132,240.75x = 80,864,590,689
  5. Step 5: Solve for x
    x = 80,864,590,689/132,240.75
  6. Step 6: Final answer
    x = 611,495.25

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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.