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Finding the Third Proportional to 239,983 and 518,452

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Solution

The third proportional to 239,983 and 518,452 is: 1,120,047.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    239,983 : 518,452 = 518,452 : x
  2. Step 2: Convert to fraction form
    239,983/518,452 = 518,452/x
  3. Step 3: Cross multiply
    239,983x = 518,452 × 518,452
  4. Step 4: Simplify right side
    239,983x = 268,792,476,304
  5. Step 5: Solve for x
    x = 268,792,476,304/239,983
  6. Step 6: Final answer
    x = 1,120,047.99

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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.