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Finding the Third Proportional to 272,396 and 422,760

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Solution

The third proportional to 272,396 and 422,760 is: 656,125.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    272,396 : 422,760 = 422,760 : x
  2. Step 2: Convert to fraction form
    272,396/422,760 = 422,760/x
  3. Step 3: Cross multiply
    272,396x = 422,760 × 422,760
  4. Step 4: Simplify right side
    272,396x = 178,726,017,600
  5. Step 5: Solve for x
    x = 178,726,017,600/272,396
  6. Step 6: Final answer
    x = 656,125.71

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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.