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Finding the Third Proportional to 40,954 and 57,711

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Solution

The third proportional to 40,954 and 57,711 is: 81,324.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    40,954 : 57,711 = 57,711 : x
  2. Step 2: Convert to fraction form
    40,954/57,711 = 57,711/x
  3. Step 3: Cross multiply
    40,954x = 57,711 × 57,711
  4. Step 4: Simplify right side
    40,954x = 3,330,559,521
  5. Step 5: Solve for x
    x = 3,330,559,521/40,954
  6. Step 6: Final answer
    x = 81,324.40

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Why These Related Problems?

These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.