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Finding the Third Proportional to 31,978 and 70,301

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Solution

The third proportional to 31,978 and 70,301 is: 154,550.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,978 : 70,301 = 70,301 : x
  2. Step 2: Convert to fraction form
    31,978/70,301 = 70,301/x
  3. Step 3: Cross multiply
    31,978x = 70,301 × 70,301
  4. Step 4: Simplify right side
    31,978x = 4,942,230,601
  5. Step 5: Solve for x
    x = 4,942,230,601/31,978
  6. Step 6: Final answer
    x = 154,550.96

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.