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Finding the Third Proportional to 342,481.50 and 542,278.13

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Solution

The third proportional to 342,481.50 and 542,278.13 is: 858,631.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    342,481.50 : 542,278.13 = 542,278.13 : x
  2. Step 2: Convert to fraction form
    342,481.50/542,278.13 = 542,278.13/x
  3. Step 3: Cross multiply
    342,481.50x = 542,278.13 × 542,278.13
  4. Step 4: Simplify right side
    342,481.50x = 294,065,564,853.52
  5. Step 5: Solve for x
    x = 294,065,564,853.52/342,481.50
  6. Step 6: Final answer
    x = 858,631.97

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Why These Related Problems?

These problems maintain the same ratio (1.58) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.