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Finding the Third Proportional to 422,928 and 915,552

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Solution

The third proportional to 422,928 and 915,552 is: 1,981,981.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    422,928 : 915,552 = 915,552 : x
  2. Step 2: Convert to fraction form
    422,928/915,552 = 915,552/x
  3. Step 3: Cross multiply
    422,928x = 915,552 × 915,552
  4. Step 4: Simplify right side
    422,928x = 838,235,464,704
  5. Step 5: Solve for x
    x = 838,235,464,704/422,928
  6. Step 6: Final answer
    x = 1,981,981.48

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.