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Finding the Third Proportional to 71,986.50 and 157,077

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Solution

The third proportional to 71,986.50 and 157,077 is: 342,747.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,986.50 : 157,077 = 157,077 : x
  2. Step 2: Convert to fraction form
    71,986.50/157,077 = 157,077/x
  3. Step 3: Cross multiply
    71,986.50x = 157,077 × 157,077
  4. Step 4: Simplify right side
    71,986.50x = 24,673,183,929
  5. Step 5: Solve for x
    x = 24,673,183,929/71,986.50
  6. Step 6: Final answer
    x = 342,747.38

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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.