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Finding the Third Proportional to 71,934.75 and 149,730.19

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Solution

The third proportional to 71,934.75 and 149,730.19 is: 311,659.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,934.75 : 149,730.19 = 149,730.19 : x
  2. Step 2: Convert to fraction form
    71,934.75/149,730.19 = 149,730.19/x
  3. Step 3: Cross multiply
    71,934.75x = 149,730.19 × 149,730.19
  4. Step 4: Simplify right side
    71,934.75x = 22,419,129,048.79
  5. Step 5: Solve for x
    x = 22,419,129,048.79/71,934.75
  6. Step 6: Final answer
    x = 311,659.23

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.