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Finding the Third Proportional to 317,187 and 665,512

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Solution

The third proportional to 317,187 and 665,512 is: 1,396,356.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    317,187 : 665,512 = 665,512 : x
  2. Step 2: Convert to fraction form
    317,187/665,512 = 665,512/x
  3. Step 3: Cross multiply
    317,187x = 665,512 × 665,512
  4. Step 4: Simplify right side
    317,187x = 442,906,222,144
  5. Step 5: Solve for x
    x = 442,906,222,144/317,187
  6. Step 6: Final answer
    x = 1,396,356.79

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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.