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Finding the Third Proportional to 81,720 and 170,926

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Solution

The third proportional to 81,720 and 170,926 is: 357,509.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    81,720 : 170,926 = 170,926 : x
  2. Step 2: Convert to fraction form
    81,720/170,926 = 170,926/x
  3. Step 3: Cross multiply
    81,720x = 170,926 × 170,926
  4. Step 4: Simplify right side
    81,720x = 29,215,697,476
  5. Step 5: Solve for x
    x = 29,215,697,476/81,720
  6. Step 6: Final answer
    x = 357,509.76

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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.