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Finding the Third Proportional to 170,617 and 398,719

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Solution

The third proportional to 170,617 and 398,719 is: 931,776.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    170,617 : 398,719 = 398,719 : x
  2. Step 2: Convert to fraction form
    170,617/398,719 = 398,719/x
  3. Step 3: Cross multiply
    170,617x = 398,719 × 398,719
  4. Step 4: Simplify right side
    170,617x = 158,976,840,961
  5. Step 5: Solve for x
    x = 158,976,840,961/170,617
  6. Step 6: Final answer
    x = 931,776.09

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Why These Related Problems?

These problems maintain the same ratio (2.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.