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Finding the Third Proportional to 85,400 and 187,408

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Solution

The third proportional to 85,400 and 187,408 is: 411,261.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    85,400 : 187,408 = 187,408 : x
  2. Step 2: Convert to fraction form
    85,400/187,408 = 187,408/x
  3. Step 3: Cross multiply
    85,400x = 187,408 × 187,408
  4. Step 4: Simplify right side
    85,400x = 35,121,758,464
  5. Step 5: Solve for x
    x = 35,121,758,464/85,400
  6. Step 6: Final answer
    x = 411,261.81

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.