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Finding the Third Proportional to 80,138.50 and 171,394.50

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Solution

The third proportional to 80,138.50 and 171,394.50 is: 366,566.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    80,138.50 : 171,394.50 = 171,394.50 : x
  2. Step 2: Convert to fraction form
    80,138.50/171,394.50 = 171,394.50/x
  3. Step 3: Cross multiply
    80,138.50x = 171,394.50 × 171,394.50
  4. Step 4: Simplify right side
    80,138.50x = 29,376,074,630.25
  5. Step 5: Solve for x
    x = 29,376,074,630.25/80,138.50
  6. Step 6: Final answer
    x = 366,566.31

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.