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Finding the Third Proportional to 317,283 and 665,694

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Solution

The third proportional to 317,283 and 665,694 is: 1,396,697.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    317,283 : 665,694 = 665,694 : x
  2. Step 2: Convert to fraction form
    317,283/665,694 = 665,694/x
  3. Step 3: Cross multiply
    317,283x = 665,694 × 665,694
  4. Step 4: Simplify right side
    317,283x = 443,148,501,636
  5. Step 5: Solve for x
    x = 443,148,501,636/317,283
  6. Step 6: Final answer
    x = 1,396,697.91

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Why These Related Problems?

These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.