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Finding the Third Proportional to 72,255.38 and 111,147.19

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Solution

The third proportional to 72,255.38 and 111,147.19 is: 170,972.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    72,255.38 : 111,147.19 = 111,147.19 : x
  2. Step 2: Convert to fraction form
    72,255.38/111,147.19 = 111,147.19/x
  3. Step 3: Cross multiply
    72,255.38x = 111,147.19 × 111,147.19
  4. Step 4: Simplify right side
    72,255.38x = 12,353,697,289.16
  5. Step 5: Solve for x
    x = 12,353,697,289.16/72,255.38
  6. Step 6: Final answer
    x = 170,972.71

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.