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Finding the Third Proportional to 82,785.80 and 178,801.17

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Solution

The third proportional to 82,785.80 and 178,801.17 is: 386,175.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,785.80 : 178,801.17 = 178,801.17 : x
  2. Step 2: Convert to fraction form
    82,785.80/178,801.17 = 178,801.17/x
  3. Step 3: Cross multiply
    82,785.80x = 178,801.17 × 178,801.17
  4. Step 4: Simplify right side
    82,785.80x = 31,969,859,063.87
  5. Step 5: Solve for x
    x = 31,969,859,063.87/82,785.80
  6. Step 6: Final answer
    x = 386,175.65

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.