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Finding the Third Proportional to 301,691 and 447,317

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Solution

The third proportional to 301,691 and 447,317 is: 663,236.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    301,691 : 447,317 = 447,317 : x
  2. Step 2: Convert to fraction form
    301,691/447,317 = 447,317/x
  3. Step 3: Cross multiply
    301,691x = 447,317 × 447,317
  4. Step 4: Simplify right side
    301,691x = 200,092,498,489
  5. Step 5: Solve for x
    x = 200,092,498,489/301,691
  6. Step 6: Final answer
    x = 663,236.55

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Why These Related Problems?

These problems maintain the same ratio (1.48) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.