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Finding the Third Proportional to 120,074 and 258,766

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Solution

The third proportional to 120,074 and 258,766 is: 557,654.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    120,074 : 258,766 = 258,766 : x
  2. Step 2: Convert to fraction form
    120,074/258,766 = 258,766/x
  3. Step 3: Cross multiply
    120,074x = 258,766 × 258,766
  4. Step 4: Simplify right side
    120,074x = 66,959,842,756
  5. Step 5: Solve for x
    x = 66,959,842,756/120,074
  6. Step 6: Final answer
    x = 557,654.80

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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.