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Finding the Third Proportional to 100,711 and 141,169

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Solution

The third proportional to 100,711 and 141,169 is: 197,879.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,711 : 141,169 = 141,169 : x
  2. Step 2: Convert to fraction form
    100,711/141,169 = 141,169/x
  3. Step 3: Cross multiply
    100,711x = 141,169 × 141,169
  4. Step 4: Simplify right side
    100,711x = 19,928,686,561
  5. Step 5: Solve for x
    x = 19,928,686,561/100,711
  6. Step 6: Final answer
    x = 197,879.94

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Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.