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Finding the Third Proportional to 77,151.87 and 165,679.31

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Solution

The third proportional to 77,151.87 and 165,679.31 is: 355,787.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    77,151.87 : 165,679.31 = 165,679.31 : x
  2. Step 2: Convert to fraction form
    77,151.87/165,679.31 = 165,679.31/x
  3. Step 3: Cross multiply
    77,151.87x = 165,679.31 × 165,679.31
  4. Step 4: Simplify right side
    77,151.87x = 27,449,634,590.47
  5. Step 5: Solve for x
    x = 27,449,634,590.47/77,151.87
  6. Step 6: Final answer
    x = 355,787.02

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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.