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Finding the Third Proportional to 181,686.38 and 278,885.25

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Solution

The third proportional to 181,686.38 and 278,885.25 is: 428,083.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    181,686.38 : 278,885.25 = 278,885.25 : x
  2. Step 2: Convert to fraction form
    181,686.38/278,885.25 = 278,885.25/x
  3. Step 3: Cross multiply
    181,686.38x = 278,885.25 × 278,885.25
  4. Step 4: Simplify right side
    181,686.38x = 77,776,982,667.56
  5. Step 5: Solve for x
    x = 77,776,982,667.56/181,686.38
  6. Step 6: Final answer
    x = 428,083.74

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.