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Finding the Third Proportional to 53,990 and 83,811

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Solution

The third proportional to 53,990 and 83,811 is: 130,103.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    53,990 : 83,811 = 83,811 : x
  2. Step 2: Convert to fraction form
    53,990/83,811 = 83,811/x
  3. Step 3: Cross multiply
    53,990x = 83,811 × 83,811
  4. Step 4: Simplify right side
    53,990x = 7,024,283,721
  5. Step 5: Solve for x
    x = 7,024,283,721/53,990
  6. Step 6: Final answer
    x = 130,103.42

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.