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Finding the Third Proportional to 181,684.50 and 278,882.25

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Solution

The third proportional to 181,684.50 and 278,882.25 is: 428,078.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    181,684.50 : 278,882.25 = 278,882.25 : x
  2. Step 2: Convert to fraction form
    181,684.50/278,882.25 = 278,882.25/x
  3. Step 3: Cross multiply
    181,684.50x = 278,882.25 × 278,882.25
  4. Step 4: Simplify right side
    181,684.50x = 77,775,309,365.06
  5. Step 5: Solve for x
    x = 77,775,309,365.06/181,684.50
  6. Step 6: Final answer
    x = 428,078.95

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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.