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Finding the Third Proportional to 84,986 and 128,811

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Solution

The third proportional to 84,986 and 128,811 is: 195,235.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    84,986 : 128,811 = 128,811 : x
  2. Step 2: Convert to fraction form
    84,986/128,811 = 128,811/x
  3. Step 3: Cross multiply
    84,986x = 128,811 × 128,811
  4. Step 4: Simplify right side
    84,986x = 16,592,273,721
  5. Step 5: Solve for x
    x = 16,592,273,721/84,986
  6. Step 6: Final answer
    x = 195,235.38

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.