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Finding the Third Proportional to 198,648.75 and 431,161.50

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Solution

The third proportional to 198,648.75 and 431,161.50 is: 935,823.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    198,648.75 : 431,161.50 = 431,161.50 : x
  2. Step 2: Convert to fraction form
    198,648.75/431,161.50 = 431,161.50/x
  3. Step 3: Cross multiply
    198,648.75x = 431,161.50 × 431,161.50
  4. Step 4: Simplify right side
    198,648.75x = 185,900,239,082.25
  5. Step 5: Solve for x
    x = 185,900,239,082.25/198,648.75
  6. Step 6: Final answer
    x = 935,823.86

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.