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Finding the Third Proportional to 85,692 and 121,794

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Solution

The third proportional to 85,692 and 121,794 is: 173,105.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    85,692 : 121,794 = 121,794 : x
  2. Step 2: Convert to fraction form
    85,692/121,794 = 121,794/x
  3. Step 3: Cross multiply
    85,692x = 121,794 × 121,794
  4. Step 4: Simplify right side
    85,692x = 14,833,778,436
  5. Step 5: Solve for x
    x = 14,833,778,436/85,692
  6. Step 6: Final answer
    x = 173,105.76

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Why These Related Problems?

These problems maintain the same ratio (1.42) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.