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Finding the Third Proportional to 81,711 and 170,910

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Solution

The third proportional to 81,711 and 170,910 is: 357,482.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    81,711 : 170,910 = 170,910 : x
  2. Step 2: Convert to fraction form
    81,711/170,910 = 170,910/x
  3. Step 3: Cross multiply
    81,711x = 170,910 × 170,910
  4. Step 4: Simplify right side
    81,711x = 29,210,228,100
  5. Step 5: Solve for x
    x = 29,210,228,100/81,711
  6. Step 6: Final answer
    x = 357,482.20

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Why These Related Problems?

These problems maintain the same ratio (2.09) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.