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Finding the Third Proportional to 72,717.25 and 157,108

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Solution

The third proportional to 72,717.25 and 157,108 is: 339,436.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    72,717.25 : 157,108 = 157,108 : x
  2. Step 2: Convert to fraction form
    72,717.25/157,108 = 157,108/x
  3. Step 3: Cross multiply
    72,717.25x = 157,108 × 157,108
  4. Step 4: Simplify right side
    72,717.25x = 24,682,923,664
  5. Step 5: Solve for x
    x = 24,682,923,664/72,717.25
  6. Step 6: Final answer
    x = 339,436.98

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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.