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Finding the Third Proportional to 311,671 and 672,550

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Solution

The third proportional to 311,671 and 672,550 is: 1,451,285.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    311,671 : 672,550 = 672,550 : x
  2. Step 2: Convert to fraction form
    311,671/672,550 = 672,550/x
  3. Step 3: Cross multiply
    311,671x = 672,550 × 672,550
  4. Step 4: Simplify right side
    311,671x = 452,323,502,500
  5. Step 5: Solve for x
    x = 452,323,502,500/311,671
  6. Step 6: Final answer
    x = 1,451,285.18

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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.