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Finding the Third Proportional to 117,976 and 258,098

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Solution

The third proportional to 117,976 and 258,098 is: 564,645.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    117,976 : 258,098 = 258,098 : x
  2. Step 2: Convert to fraction form
    117,976/258,098 = 258,098/x
  3. Step 3: Cross multiply
    117,976x = 258,098 × 258,098
  4. Step 4: Simplify right side
    117,976x = 66,614,577,604
  5. Step 5: Solve for x
    x = 66,614,577,604/117,976
  6. Step 6: Final answer
    x = 564,645.16

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.