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Finding the Third Proportional to 198,372.38 and 289,065.38

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Solution

The third proportional to 198,372.38 and 289,065.38 is: 421,221.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    198,372.38 : 289,065.38 = 289,065.38 : x
  2. Step 2: Convert to fraction form
    198,372.38/289,065.38 = 289,065.38/x
  3. Step 3: Cross multiply
    198,372.38x = 289,065.38 × 289,065.38
  4. Step 4: Simplify right side
    198,372.38x = 83,558,791,023.89
  5. Step 5: Solve for x
    x = 83,558,791,023.89/198,372.38
  6. Step 6: Final answer
    x = 421,221.91

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.