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Finding the Third Proportional to 317,142 and 665,424

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Solution

The third proportional to 317,142 and 665,424 is: 1,396,185.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    317,142 : 665,424 = 665,424 : x
  2. Step 2: Convert to fraction form
    317,142/665,424 = 665,424/x
  3. Step 3: Cross multiply
    317,142x = 665,424 × 665,424
  4. Step 4: Simplify right side
    317,142x = 442,789,099,776
  5. Step 5: Solve for x
    x = 442,789,099,776/317,142
  6. Step 6: Final answer
    x = 1,396,185.62

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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.