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Finding the Third Proportional to 38,911 and 75,878

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Solution

The third proportional to 38,911 and 75,878 is: 147,965.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,911 : 75,878 = 75,878 : x
  2. Step 2: Convert to fraction form
    38,911/75,878 = 75,878/x
  3. Step 3: Cross multiply
    38,911x = 75,878 × 75,878
  4. Step 4: Simplify right side
    38,911x = 5,757,470,884
  5. Step 5: Solve for x
    x = 5,757,470,884/38,911
  6. Step 6: Final answer
    x = 147,965.12

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Why These Related Problems?

These problems maintain the same ratio (1.95) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.