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Finding the Third Proportional to 422,964 and 915,624

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Solution

The third proportional to 422,964 and 915,624 is: 1,982,124.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    422,964 : 915,624 = 915,624 : x
  2. Step 2: Convert to fraction form
    422,964/915,624 = 915,624/x
  3. Step 3: Cross multiply
    422,964x = 915,624 × 915,624
  4. Step 4: Simplify right side
    422,964x = 838,367,309,376
  5. Step 5: Solve for x
    x = 838,367,309,376/422,964
  6. Step 6: Final answer
    x = 1,982,124.51

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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.