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Finding the Third Proportional to 198,500 and 431,989

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Solution

The third proportional to 198,500 and 431,989 is: 940,123.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    198,500 : 431,989 = 431,989 : x
  2. Step 2: Convert to fraction form
    198,500/431,989 = 431,989/x
  3. Step 3: Cross multiply
    198,500x = 431,989 × 431,989
  4. Step 4: Simplify right side
    198,500x = 186,614,496,121
  5. Step 5: Solve for x
    x = 186,614,496,121/198,500
  6. Step 6: Final answer
    x = 940,123.41

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.