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Finding the Third Proportional to 317,745 and 661,626

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Solution

The third proportional to 317,745 and 661,626 is: 1,377,673.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    317,745 : 661,626 = 661,626 : x
  2. Step 2: Convert to fraction form
    317,745/661,626 = 661,626/x
  3. Step 3: Cross multiply
    317,745x = 661,626 × 661,626
  4. Step 4: Simplify right side
    317,745x = 437,748,963,876
  5. Step 5: Solve for x
    x = 437,748,963,876/317,745
  6. Step 6: Final answer
    x = 1,377,673.81

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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.