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Finding the Third Proportional to 85,692 and 131,796

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Solution

The third proportional to 85,692 and 131,796 is: 202,704.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    85,692 : 131,796 = 131,796 : x
  2. Step 2: Convert to fraction form
    85,692/131,796 = 131,796/x
  3. Step 3: Cross multiply
    85,692x = 131,796 × 131,796
  4. Step 4: Simplify right side
    85,692x = 17,370,185,616
  5. Step 5: Solve for x
    x = 17,370,185,616/85,692
  6. Step 6: Final answer
    x = 202,704.87

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.