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Finding the Third Proportional to 317,749 and 661,634

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Solution

The third proportional to 317,749 and 661,634 is: 1,377,689.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    317,749 : 661,634 = 661,634 : x
  2. Step 2: Convert to fraction form
    317,749/661,634 = 661,634/x
  3. Step 3: Cross multiply
    317,749x = 661,634 × 661,634
  4. Step 4: Simplify right side
    317,749x = 437,759,549,956
  5. Step 5: Solve for x
    x = 437,759,549,956/317,749
  6. Step 6: Final answer
    x = 1,377,689.78

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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.