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Finding the Third Proportional to 198,648.75 and 431,160.75

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Solution

The third proportional to 198,648.75 and 431,160.75 is: 935,820.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    198,648.75 : 431,160.75 = 431,160.75 : x
  2. Step 2: Convert to fraction form
    198,648.75/431,160.75 = 431,160.75/x
  3. Step 3: Cross multiply
    198,648.75x = 431,160.75 × 431,160.75
  4. Step 4: Simplify right side
    198,648.75x = 185,899,592,340.56
  5. Step 5: Solve for x
    x = 185,899,592,340.56/198,648.75
  6. Step 6: Final answer
    x = 935,820.60

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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.