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Finding the Third Proportional to 317,578 and 661,292

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Solution

The third proportional to 317,578 and 661,292 is: 1,377,006.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    317,578 : 661,292 = 661,292 : x
  2. Step 2: Convert to fraction form
    317,578/661,292 = 661,292/x
  3. Step 3: Cross multiply
    317,578x = 661,292 × 661,292
  4. Step 4: Simplify right side
    317,578x = 437,307,109,264
  5. Step 5: Solve for x
    x = 437,307,109,264/317,578
  6. Step 6: Final answer
    x = 1,377,006.94

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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.