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Finding the Third Proportional to 239,832 and 487,980

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Solution

The third proportional to 239,832 and 487,980 is: 992,880.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    239,832 : 487,980 = 487,980 : x
  2. Step 2: Convert to fraction form
    239,832/487,980 = 487,980/x
  3. Step 3: Cross multiply
    239,832x = 487,980 × 487,980
  4. Step 4: Simplify right side
    239,832x = 238,124,480,400
  5. Step 5: Solve for x
    x = 238,124,480,400/239,832
  6. Step 6: Final answer
    x = 992,880.35

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Why These Related Problems?

These problems maintain the same ratio (2.03) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.