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Finding the Third Proportional to 38,726 and 57,939

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Solution

The third proportional to 38,726 and 57,939 is: 86,684.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,726 : 57,939 = 57,939 : x
  2. Step 2: Convert to fraction form
    38,726/57,939 = 57,939/x
  3. Step 3: Cross multiply
    38,726x = 57,939 × 57,939
  4. Step 4: Simplify right side
    38,726x = 3,356,927,721
  5. Step 5: Solve for x
    x = 3,356,927,721/38,726
  6. Step 6: Final answer
    x = 86,684.08

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.