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Finding the Third Proportional to 225,139.50 and 342,351

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Solution

The third proportional to 225,139.50 and 342,351 is: 520,584.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    225,139.50 : 342,351 = 342,351 : x
  2. Step 2: Convert to fraction form
    225,139.50/342,351 = 342,351/x
  3. Step 3: Cross multiply
    225,139.50x = 342,351 × 342,351
  4. Step 4: Simplify right side
    225,139.50x = 117,204,207,201
  5. Step 5: Solve for x
    x = 117,204,207,201/225,139.50
  6. Step 6: Final answer
    x = 520,584.82

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.