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Finding the Third Proportional to 120,379.50 and 256,311

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Solution

The third proportional to 120,379.50 and 256,311 is: 545,735.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    120,379.50 : 256,311 = 256,311 : x
  2. Step 2: Convert to fraction form
    120,379.50/256,311 = 256,311/x
  3. Step 3: Cross multiply
    120,379.50x = 256,311 × 256,311
  4. Step 4: Simplify right side
    120,379.50x = 65,695,328,721
  5. Step 5: Solve for x
    x = 65,695,328,721/120,379.50
  6. Step 6: Final answer
    x = 545,735.19

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.