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Finding the Third Proportional to 198,290.85 and 431,180.72

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Solution

The third proportional to 198,290.85 and 431,180.72 is: 937,596.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    198,290.85 : 431,180.72 = 431,180.72 : x
  2. Step 2: Convert to fraction form
    198,290.85/431,180.72 = 431,180.72/x
  3. Step 3: Cross multiply
    198,290.85x = 431,180.72 × 431,180.72
  4. Step 4: Simplify right side
    198,290.85x = 185,916,812,221.77
  5. Step 5: Solve for x
    x = 185,916,812,221.77/198,290.85
  6. Step 6: Final answer
    x = 937,596.54

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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.