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Finding the Third Proportional to 120,058.50 and 258,738

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Solution

The third proportional to 120,058.50 and 258,738 is: 557,606.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    120,058.50 : 258,738 = 258,738 : x
  2. Step 2: Convert to fraction form
    120,058.50/258,738 = 258,738/x
  3. Step 3: Cross multiply
    120,058.50x = 258,738 × 258,738
  4. Step 4: Simplify right side
    120,058.50x = 66,945,352,644
  5. Step 5: Solve for x
    x = 66,945,352,644/120,058.50
  6. Step 6: Final answer
    x = 557,606.11

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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.