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Finding the Third Proportional to 132,251.06 and 284,386.78

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Solution

The third proportional to 132,251.06 and 284,386.78 is: 611,532.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    132,251.06 : 284,386.78 = 284,386.78 : x
  2. Step 2: Convert to fraction form
    132,251.06/284,386.78 = 284,386.78/x
  3. Step 3: Cross multiply
    132,251.06x = 284,386.78 × 284,386.78
  4. Step 4: Simplify right side
    132,251.06x = 80,875,841,349.74
  5. Step 5: Solve for x
    x = 80,875,841,349.74/132,251.06
  6. Step 6: Final answer
    x = 611,532.64

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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.