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Finding the Third Proportional to 239,981 and 518,448

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Solution

The third proportional to 239,981 and 518,448 is: 1,120,040.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    239,981 : 518,448 = 518,448 : x
  2. Step 2: Convert to fraction form
    239,981/518,448 = 518,448/x
  3. Step 3: Cross multiply
    239,981x = 518,448 × 518,448
  4. Step 4: Simplify right side
    239,981x = 268,788,328,704
  5. Step 5: Solve for x
    x = 268,788,328,704/239,981
  6. Step 6: Final answer
    x = 1,120,040.04

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.