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Finding the Third Proportional to 72,938 and 158,407

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Solution

The third proportional to 72,938 and 158,407 is: 344,028.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    72,938 : 158,407 = 158,407 : x
  2. Step 2: Convert to fraction form
    72,938/158,407 = 158,407/x
  3. Step 3: Cross multiply
    72,938x = 158,407 × 158,407
  4. Step 4: Simplify right side
    72,938x = 25,092,777,649
  5. Step 5: Solve for x
    x = 25,092,777,649/72,938
  6. Step 6: Final answer
    x = 344,028.87

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.