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Finding the Third Proportional to 57,890 and 83,811

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Solution

The third proportional to 57,890 and 83,811 is: 121,338.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    57,890 : 83,811 = 83,811 : x
  2. Step 2: Convert to fraction form
    57,890/83,811 = 83,811/x
  3. Step 3: Cross multiply
    57,890x = 83,811 × 83,811
  4. Step 4: Simplify right side
    57,890x = 7,024,283,721
  5. Step 5: Solve for x
    x = 7,024,283,721/57,890
  6. Step 6: Final answer
    x = 121,338.46

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Why These Related Problems?

These problems maintain the same ratio (1.45) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.