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Finding the Third Proportional to 159,610.50 and 342,741

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Solution

The third proportional to 159,610.50 and 342,741 is: 735,987.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    159,610.50 : 342,741 = 342,741 : x
  2. Step 2: Convert to fraction form
    159,610.50/342,741 = 342,741/x
  3. Step 3: Cross multiply
    159,610.50x = 342,741 × 342,741
  4. Step 4: Simplify right side
    159,610.50x = 117,471,393,081
  5. Step 5: Solve for x
    x = 117,471,393,081/159,610.50
  6. Step 6: Final answer
    x = 735,987.88

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.