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Finding the Third Proportional to 172,086 and 260,719

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Solution

The third proportional to 172,086 and 260,719 is: 395,002.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    172,086 : 260,719 = 260,719 : x
  2. Step 2: Convert to fraction form
    172,086/260,719 = 260,719/x
  3. Step 3: Cross multiply
    172,086x = 260,719 × 260,719
  4. Step 4: Simplify right side
    172,086x = 67,974,396,961
  5. Step 5: Solve for x
    x = 67,974,396,961/172,086
  6. Step 6: Final answer
    x = 395,002.48

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.