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Finding the Third Proportional to 186,867 and 398,648

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Solution

The third proportional to 186,867 and 398,648 is: 850,445.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    186,867 : 398,648 = 398,648 : x
  2. Step 2: Convert to fraction form
    186,867/398,648 = 398,648/x
  3. Step 3: Cross multiply
    186,867x = 398,648 × 398,648
  4. Step 4: Simplify right side
    186,867x = 158,920,227,904
  5. Step 5: Solve for x
    x = 158,920,227,904/186,867
  6. Step 6: Final answer
    x = 850,445.65

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.