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Finding the Third Proportional to 317,282 and 665,692

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Solution

The third proportional to 317,282 and 665,692 is: 1,396,693.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    317,282 : 665,692 = 665,692 : x
  2. Step 2: Convert to fraction form
    317,282/665,692 = 665,692/x
  3. Step 3: Cross multiply
    317,282x = 665,692 × 665,692
  4. Step 4: Simplify right side
    317,282x = 443,145,838,864
  5. Step 5: Solve for x
    x = 443,145,838,864/317,282
  6. Step 6: Final answer
    x = 1,396,693.92

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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.