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Finding the Third Proportional to 217,882 and 297,042.50

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Solution

The third proportional to 217,882 and 297,042.50 is: 404,963.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    217,882 : 297,042.50 = 297,042.50 : x
  2. Step 2: Convert to fraction form
    217,882/297,042.50 = 297,042.50/x
  3. Step 3: Cross multiply
    217,882x = 297,042.50 × 297,042.50
  4. Step 4: Simplify right side
    217,882x = 88,234,246,806.25
  5. Step 5: Solve for x
    x = 88,234,246,806.25/217,882
  6. Step 6: Final answer
    x = 404,963.45

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Why These Related Problems?

These problems maintain the same ratio (1.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.