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Finding the Third Proportional to 311,862 and 673,612

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Solution

The third proportional to 311,862 and 673,612 is: 1,454,980.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    311,862 : 673,612 = 673,612 : x
  2. Step 2: Convert to fraction form
    311,862/673,612 = 673,612/x
  3. Step 3: Cross multiply
    311,862x = 673,612 × 673,612
  4. Step 4: Simplify right side
    311,862x = 453,753,126,544
  5. Step 5: Solve for x
    x = 453,753,126,544/311,862
  6. Step 6: Final answer
    x = 1,454,980.49

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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.