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Finding the Third Proportional to 71,530.50 and 157,065

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Solution

The third proportional to 71,530.50 and 157,065 is: 344,879.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,530.50 : 157,065 = 157,065 : x
  2. Step 2: Convert to fraction form
    71,530.50/157,065 = 157,065/x
  3. Step 3: Cross multiply
    71,530.50x = 157,065 × 157,065
  4. Step 4: Simplify right side
    71,530.50x = 24,669,414,225
  5. Step 5: Solve for x
    x = 24,669,414,225/71,530.50
  6. Step 6: Final answer
    x = 344,879.66

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.