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Finding the Third Proportional to 185,172 and 398,775

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Solution

The third proportional to 185,172 and 398,775 is: 858,777.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    185,172 : 398,775 = 398,775 : x
  2. Step 2: Convert to fraction form
    185,172/398,775 = 398,775/x
  3. Step 3: Cross multiply
    185,172x = 398,775 × 398,775
  4. Step 4: Simplify right side
    185,172x = 159,021,500,625
  5. Step 5: Solve for x
    x = 159,021,500,625/185,172
  6. Step 6: Final answer
    x = 858,777.25

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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.