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Finding the Third Proportional to 72,938 and 157,036

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Solution

The third proportional to 72,938 and 157,036 is: 338,099.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    72,938 : 157,036 = 157,036 : x
  2. Step 2: Convert to fraction form
    72,938/157,036 = 157,036/x
  3. Step 3: Cross multiply
    72,938x = 157,036 × 157,036
  4. Step 4: Simplify right side
    72,938x = 24,660,305,296
  5. Step 5: Solve for x
    x = 24,660,305,296/72,938
  6. Step 6: Final answer
    x = 338,099.55

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.