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Finding the Third Proportional to 38,990 and 57,653

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Solution

The third proportional to 38,990 and 57,653 is: 85,249.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,990 : 57,653 = 57,653 : x
  2. Step 2: Convert to fraction form
    38,990/57,653 = 57,653/x
  3. Step 3: Cross multiply
    38,990x = 57,653 × 57,653
  4. Step 4: Simplify right side
    38,990x = 3,323,868,409
  5. Step 5: Solve for x
    x = 3,323,868,409/38,990
  6. Step 6: Final answer
    x = 85,249.25

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Why These Related Problems?

These problems maintain the same ratio (1.48) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.