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Finding the Third Proportional to 185,140 and 398,408

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Solution

The third proportional to 185,140 and 398,408 is: 857,345.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    185,140 : 398,408 = 398,408 : x
  2. Step 2: Convert to fraction form
    185,140/398,408 = 398,408/x
  3. Step 3: Cross multiply
    185,140x = 398,408 × 398,408
  4. Step 4: Simplify right side
    185,140x = 158,728,934,464
  5. Step 5: Solve for x
    x = 158,728,934,464/185,140
  6. Step 6: Final answer
    x = 857,345.44

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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.