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Finding the Third Proportional to 187,989.12 and 391,469.48

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Solution

The third proportional to 187,989.12 and 391,469.48 is: 815,198.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    187,989.12 : 391,469.48 = 391,469.48 : x
  2. Step 2: Convert to fraction form
    187,989.12/391,469.48 = 391,469.48/x
  3. Step 3: Cross multiply
    187,989.12x = 391,469.48 × 391,469.48
  4. Step 4: Simplify right side
    187,989.12x = 153,248,357,196.83
  5. Step 5: Solve for x
    x = 153,248,357,196.83/187,989.12
  6. Step 6: Final answer
    x = 815,198.03

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.