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Finding the Third Proportional to 288,279 and 663,552

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Solution

The third proportional to 288,279 and 663,552 is: 1,527,344.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    288,279 : 663,552 = 663,552 : x
  2. Step 2: Convert to fraction form
    288,279/663,552 = 663,552/x
  3. Step 3: Cross multiply
    288,279x = 663,552 × 663,552
  4. Step 4: Simplify right side
    288,279x = 440,301,256,704
  5. Step 5: Solve for x
    x = 440,301,256,704/288,279
  6. Step 6: Final answer
    x = 1,527,344.19

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Why These Related Problems?

These problems maintain the same ratio (2.30) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.