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Finding the Third Proportional to 120,034 and 258,676

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Solution

The third proportional to 120,034 and 258,676 is: 557,452.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    120,034 : 258,676 = 258,676 : x
  2. Step 2: Convert to fraction form
    120,034/258,676 = 258,676/x
  3. Step 3: Cross multiply
    120,034x = 258,676 × 258,676
  4. Step 4: Simplify right side
    120,034x = 66,913,272,976
  5. Step 5: Solve for x
    x = 66,913,272,976/120,034
  6. Step 6: Final answer
    x = 557,452.66

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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.