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Finding the Third Proportional to 181,713.38 and 391,199.63

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Solution

The third proportional to 181,713.38 and 391,199.63 is: 842,189.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    181,713.38 : 391,199.63 = 391,199.63 : x
  2. Step 2: Convert to fraction form
    181,713.38/391,199.63 = 391,199.63/x
  3. Step 3: Cross multiply
    181,713.38x = 391,199.63 × 391,199.63
  4. Step 4: Simplify right side
    181,713.38x = 153,037,146,600.14
  5. Step 5: Solve for x
    x = 153,037,146,600.14/181,713.38
  6. Step 6: Final answer
    x = 842,189.78

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.