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Finding the Third Proportional to 100,474 and 207,482

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Solution

The third proportional to 100,474 and 207,482 is: 428,456.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,474 : 207,482 = 207,482 : x
  2. Step 2: Convert to fraction form
    100,474/207,482 = 207,482/x
  3. Step 3: Cross multiply
    100,474x = 207,482 × 207,482
  4. Step 4: Simplify right side
    100,474x = 43,048,780,324
  5. Step 5: Solve for x
    x = 43,048,780,324/100,474
  6. Step 6: Final answer
    x = 428,456.92

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Why These Related Problems?

These problems maintain the same ratio (2.07) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.