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Finding the Third Proportional to 100,444 and 207,422

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Solution

The third proportional to 100,444 and 207,422 is: 428,337.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,444 : 207,422 = 207,422 : x
  2. Step 2: Convert to fraction form
    100,444/207,422 = 207,422/x
  3. Step 3: Cross multiply
    100,444x = 207,422 × 207,422
  4. Step 4: Simplify right side
    100,444x = 43,023,886,084
  5. Step 5: Solve for x
    x = 43,023,886,084/100,444
  6. Step 6: Final answer
    x = 428,337.04

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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.