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Finding the Third Proportional to 317,466 and 479,439

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Solution

The third proportional to 317,466 and 479,439 is: 724,051.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    317,466 : 479,439 = 479,439 : x
  2. Step 2: Convert to fraction form
    317,466/479,439 = 479,439/x
  3. Step 3: Cross multiply
    317,466x = 479,439 × 479,439
  4. Step 4: Simplify right side
    317,466x = 229,861,754,721
  5. Step 5: Solve for x
    x = 229,861,754,721/317,466
  6. Step 6: Final answer
    x = 724,051.57

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.