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Finding the Third Proportional to 317,747 and 661,630

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Solution

The third proportional to 317,747 and 661,630 is: 1,377,681.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    317,747 : 661,630 = 661,630 : x
  2. Step 2: Convert to fraction form
    317,747/661,630 = 661,630/x
  3. Step 3: Cross multiply
    317,747x = 661,630 × 661,630
  4. Step 4: Simplify right side
    317,747x = 437,754,256,900
  5. Step 5: Solve for x
    x = 437,754,256,900/317,747
  6. Step 6: Final answer
    x = 1,377,681.79

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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.