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Finding the Third Proportional to 72,991 and 157,976

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Solution

The third proportional to 72,991 and 157,976 is: 341,910.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    72,991 : 157,976 = 157,976 : x
  2. Step 2: Convert to fraction form
    72,991/157,976 = 157,976/x
  3. Step 3: Cross multiply
    72,991x = 157,976 × 157,976
  4. Step 4: Simplify right side
    72,991x = 24,956,416,576
  5. Step 5: Solve for x
    x = 24,956,416,576/72,991
  6. Step 6: Final answer
    x = 341,910.87

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.