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Finding the Third Proportional to 80,111 and 125,666

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Solution

The third proportional to 80,111 and 125,666 is: 197,125.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    80,111 : 125,666 = 125,666 : x
  2. Step 2: Convert to fraction form
    80,111/125,666 = 125,666/x
  3. Step 3: Cross multiply
    80,111x = 125,666 × 125,666
  4. Step 4: Simplify right side
    80,111x = 15,791,943,556
  5. Step 5: Solve for x
    x = 15,791,943,556/80,111
  6. Step 6: Final answer
    x = 197,125.78

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Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.