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Finding the Third Proportional to 289,686.38 and 447,651.56

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Solution

The third proportional to 289,686.38 and 447,651.56 is: 691,754.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    289,686.38 : 447,651.56 = 447,651.56 : x
  2. Step 2: Convert to fraction form
    289,686.38/447,651.56 = 447,651.56/x
  3. Step 3: Cross multiply
    289,686.38x = 447,651.56 × 447,651.56
  4. Step 4: Simplify right side
    289,686.38x = 200,391,921,408.69
  5. Step 5: Solve for x
    x = 200,391,921,408.69/289,686.38
  6. Step 6: Final answer
    x = 691,754.73

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.