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Finding the Third Proportional to 171,156 and 372,400

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Solution

The third proportional to 171,156 and 372,400 is: 810,265.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    171,156 : 372,400 = 372,400 : x
  2. Step 2: Convert to fraction form
    171,156/372,400 = 372,400/x
  3. Step 3: Cross multiply
    171,156x = 372,400 × 372,400
  4. Step 4: Simplify right side
    171,156x = 138,681,760,000
  5. Step 5: Solve for x
    x = 138,681,760,000/171,156
  6. Step 6: Final answer
    x = 810,265.26

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.