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Finding the Third Proportional to 185,418 and 398,790

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Solution

The third proportional to 185,418 and 398,790 is: 857,702.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    185,418 : 398,790 = 398,790 : x
  2. Step 2: Convert to fraction form
    185,418/398,790 = 398,790/x
  3. Step 3: Cross multiply
    185,418x = 398,790 × 398,790
  4. Step 4: Simplify right side
    185,418x = 159,033,464,100
  5. Step 5: Solve for x
    x = 159,033,464,100/185,418
  6. Step 6: Final answer
    x = 857,702.40

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.