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Finding the Third Proportional to 311,665 and 672,537

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Solution

The third proportional to 311,665 and 672,537 is: 1,451,257.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    311,665 : 672,537 = 672,537 : x
  2. Step 2: Convert to fraction form
    311,665/672,537 = 672,537/x
  3. Step 3: Cross multiply
    311,665x = 672,537 × 672,537
  4. Step 4: Simplify right side
    311,665x = 452,306,016,369
  5. Step 5: Solve for x
    x = 452,306,016,369/311,665
  6. Step 6: Final answer
    x = 1,451,257.01

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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.