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Finding the Third Proportional to 239,976 and 516,888

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Solution

The third proportional to 239,976 and 516,888 is: 1,113,333.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    239,976 : 516,888 = 516,888 : x
  2. Step 2: Convert to fraction form
    239,976/516,888 = 516,888/x
  3. Step 3: Cross multiply
    239,976x = 516,888 × 516,888
  4. Step 4: Simplify right side
    239,976x = 267,173,204,544
  5. Step 5: Solve for x
    x = 267,173,204,544/239,976
  6. Step 6: Final answer
    x = 1,113,333.02

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.