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Finding the Third Proportional to 138,976 and 299,984

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Solution

The third proportional to 138,976 and 299,984 is: 647,524.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    138,976 : 299,984 = 299,984 : x
  2. Step 2: Convert to fraction form
    138,976/299,984 = 299,984/x
  3. Step 3: Cross multiply
    138,976x = 299,984 × 299,984
  4. Step 4: Simplify right side
    138,976x = 89,990,400,256
  5. Step 5: Solve for x
    x = 89,990,400,256/138,976
  6. Step 6: Final answer
    x = 647,524.75

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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.