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Finding the Third Proportional to 317,738 and 661,612

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Solution

The third proportional to 317,738 and 661,612 is: 1,377,645.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    317,738 : 661,612 = 661,612 : x
  2. Step 2: Convert to fraction form
    317,738/661,612 = 661,612/x
  3. Step 3: Cross multiply
    317,738x = 661,612 × 661,612
  4. Step 4: Simplify right side
    317,738x = 437,730,438,544
  5. Step 5: Solve for x
    x = 437,730,438,544/317,738
  6. Step 6: Final answer
    x = 1,377,645.85

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.