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Finding the Third Proportional to 100,531.50 and 216,508.69

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Solution

The third proportional to 100,531.50 and 216,508.69 is: 466,281.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,531.50 : 216,508.69 = 216,508.69 : x
  2. Step 2: Convert to fraction form
    100,531.50/216,508.69 = 216,508.69/x
  3. Step 3: Cross multiply
    100,531.50x = 216,508.69 × 216,508.69
  4. Step 4: Simplify right side
    100,531.50x = 46,876,011,762.97
  5. Step 5: Solve for x
    x = 46,876,011,762.97/100,531.50
  6. Step 6: Final answer
    x = 466,281.83

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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.