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Finding the Third Proportional to 312,491 and 672,448

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Solution

The third proportional to 312,491 and 672,448 is: 1,447,037.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    312,491 : 672,448 = 672,448 : x
  2. Step 2: Convert to fraction form
    312,491/672,448 = 672,448/x
  3. Step 3: Cross multiply
    312,491x = 672,448 × 672,448
  4. Step 4: Simplify right side
    312,491x = 452,186,312,704
  5. Step 5: Solve for x
    x = 452,186,312,704/312,491
  6. Step 6: Final answer
    x = 1,447,037.88

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.