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Finding the Third Proportional to 317,264 and 660,832

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Solution

The third proportional to 317,264 and 660,832 is: 1,376,452.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    317,264 : 660,832 = 660,832 : x
  2. Step 2: Convert to fraction form
    317,264/660,832 = 660,832/x
  3. Step 3: Cross multiply
    317,264x = 660,832 × 660,832
  4. Step 4: Simplify right side
    317,264x = 436,698,932,224
  5. Step 5: Solve for x
    x = 436,698,932,224/317,264
  6. Step 6: Final answer
    x = 1,376,452.83

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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.