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Finding the Third Proportional to 207,685.50 and 311,182.88

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Solution

The third proportional to 207,685.50 and 311,182.88 is: 466,256.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    207,685.50 : 311,182.88 = 311,182.88 : x
  2. Step 2: Convert to fraction form
    207,685.50/311,182.88 = 311,182.88/x
  3. Step 3: Cross multiply
    207,685.50x = 311,182.88 × 311,182.88
  4. Step 4: Simplify right side
    207,685.50x = 96,834,781,693.27
  5. Step 5: Solve for x
    x = 96,834,781,693.27/207,685.50
  6. Step 6: Final answer
    x = 466,256.82

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.