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Finding the Third Proportional to 170,615 and 398,714

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Solution

The third proportional to 170,615 and 398,714 is: 931,763.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    170,615 : 398,714 = 398,714 : x
  2. Step 2: Convert to fraction form
    170,615/398,714 = 398,714/x
  3. Step 3: Cross multiply
    170,615x = 398,714 × 398,714
  4. Step 4: Simplify right side
    170,615x = 158,972,853,796
  5. Step 5: Solve for x
    x = 158,972,853,796/170,615
  6. Step 6: Final answer
    x = 931,763.64

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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.