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Finding the Third Proportional to 170,618 and 398,718

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Solution

The third proportional to 170,618 and 398,718 is: 931,765.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    170,618 : 398,718 = 398,718 : x
  2. Step 2: Convert to fraction form
    170,618/398,718 = 398,718/x
  3. Step 3: Cross multiply
    170,618x = 398,718 × 398,718
  4. Step 4: Simplify right side
    170,618x = 158,976,043,524
  5. Step 5: Solve for x
    x = 158,976,043,524/170,618
  6. Step 6: Final answer
    x = 931,765.95

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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.