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Finding the Third Proportional to 80,867 and 170,113

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Solution

The third proportional to 80,867 and 170,113 is: 357,852.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    80,867 : 170,113 = 170,113 : x
  2. Step 2: Convert to fraction form
    80,867/170,113 = 170,113/x
  3. Step 3: Cross multiply
    80,867x = 170,113 × 170,113
  4. Step 4: Simplify right side
    80,867x = 28,938,432,769
  5. Step 5: Solve for x
    x = 28,938,432,769/80,867
  6. Step 6: Final answer
    x = 357,852.19

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Why These Related Problems?

These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.