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Finding the Third Proportional to 185,277 and 398,637

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Solution

The third proportional to 185,277 and 398,637 is: 857,696.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    185,277 : 398,637 = 398,637 : x
  2. Step 2: Convert to fraction form
    185,277/398,637 = 398,637/x
  3. Step 3: Cross multiply
    185,277x = 398,637 × 398,637
  4. Step 4: Simplify right side
    185,277x = 158,911,457,769
  5. Step 5: Solve for x
    x = 158,911,457,769/185,277
  6. Step 6: Final answer
    x = 857,696.63

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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.