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Finding the Third Proportional to 72,791 and 154,331

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Solution

The third proportional to 72,791 and 154,331 is: 327,211.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    72,791 : 154,331 = 154,331 : x
  2. Step 2: Convert to fraction form
    72,791/154,331 = 154,331/x
  3. Step 3: Cross multiply
    72,791x = 154,331 × 154,331
  4. Step 4: Simplify right side
    72,791x = 23,818,057,561
  5. Step 5: Solve for x
    x = 23,818,057,561/72,791
  6. Step 6: Final answer
    x = 327,211.57

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.