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Finding the Third Proportional to 181,755 and 278,986.50

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Solution

The third proportional to 181,755 and 278,986.50 is: 428,232.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    181,755 : 278,986.50 = 278,986.50 : x
  2. Step 2: Convert to fraction form
    181,755/278,986.50 = 278,986.50/x
  3. Step 3: Cross multiply
    181,755x = 278,986.50 × 278,986.50
  4. Step 4: Simplify right side
    181,755x = 77,833,467,182.25
  5. Step 5: Solve for x
    x = 77,833,467,182.25/181,755
  6. Step 6: Final answer
    x = 428,232.88

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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.