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Finding the Third Proportional to 170,624 and 398,738

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Solution

The third proportional to 170,624 and 398,738 is: 931,826.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    170,624 : 398,738 = 398,738 : x
  2. Step 2: Convert to fraction form
    170,624/398,738 = 398,738/x
  3. Step 3: Cross multiply
    170,624x = 398,738 × 398,738
  4. Step 4: Simplify right side
    170,624x = 158,991,992,644
  5. Step 5: Solve for x
    x = 158,991,992,644/170,624
  6. Step 6: Final answer
    x = 931,826.66

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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.