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Finding the Third Proportional to 120,068 and 258,757

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Solution

The third proportional to 120,068 and 258,757 is: 557,643.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    120,068 : 258,757 = 258,757 : x
  2. Step 2: Convert to fraction form
    120,068/258,757 = 258,757/x
  3. Step 3: Cross multiply
    120,068x = 258,757 × 258,757
  4. Step 4: Simplify right side
    120,068x = 66,955,185,049
  5. Step 5: Solve for x
    x = 66,955,185,049/120,068
  6. Step 6: Final answer
    x = 557,643.88

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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.