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Finding the Third Proportional to 71,991.60 and 157,105.20

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Solution

The third proportional to 71,991.60 and 157,105.20 is: 342,846.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,991.60 : 157,105.20 = 157,105.20 : x
  2. Step 2: Convert to fraction form
    71,991.60/157,105.20 = 157,105.20/x
  3. Step 3: Cross multiply
    71,991.60x = 157,105.20 × 157,105.20
  4. Step 4: Simplify right side
    71,991.60x = 24,682,042,394.18
  5. Step 5: Solve for x
    x = 24,682,042,394.18/71,991.60
  6. Step 6: Final answer
    x = 342,846.15

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.