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Finding the Third Proportional to 305,107 and 472,422

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Solution

The third proportional to 305,107 and 472,422 is: 731,489.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    305,107 : 472,422 = 472,422 : x
  2. Step 2: Convert to fraction form
    305,107/472,422 = 472,422/x
  3. Step 3: Cross multiply
    305,107x = 472,422 × 472,422
  4. Step 4: Simplify right side
    305,107x = 223,182,546,084
  5. Step 5: Solve for x
    x = 223,182,546,084/305,107
  6. Step 6: Final answer
    x = 731,489.43

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.