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Finding the Third Proportional to 71,322 and 101,879

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Solution

The third proportional to 71,322 and 101,879 is: 145,527.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,322 : 101,879 = 101,879 : x
  2. Step 2: Convert to fraction form
    71,322/101,879 = 101,879/x
  3. Step 3: Cross multiply
    71,322x = 101,879 × 101,879
  4. Step 4: Simplify right side
    71,322x = 10,379,330,641
  5. Step 5: Solve for x
    x = 10,379,330,641/71,322
  6. Step 6: Final answer
    x = 145,527.76

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Why These Related Problems?

These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.