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Finding the Third Proportional to 77,860 and 159,608

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Solution

The third proportional to 77,860 and 159,608 is: 327,186.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    77,860 : 159,608 = 159,608 : x
  2. Step 2: Convert to fraction form
    77,860/159,608 = 159,608/x
  3. Step 3: Cross multiply
    77,860x = 159,608 × 159,608
  4. Step 4: Simplify right side
    77,860x = 25,474,713,664
  5. Step 5: Solve for x
    x = 25,474,713,664/77,860
  6. Step 6: Final answer
    x = 327,186.15

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Why These Related Problems?

These problems maintain the same ratio (2.05) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.