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Finding the Third Proportional to 40,781 and 57,428

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Solution

The third proportional to 40,781 and 57,428 is: 80,870.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    40,781 : 57,428 = 57,428 : x
  2. Step 2: Convert to fraction form
    40,781/57,428 = 57,428/x
  3. Step 3: Cross multiply
    40,781x = 57,428 × 57,428
  4. Step 4: Simplify right side
    40,781x = 3,297,975,184
  5. Step 5: Solve for x
    x = 3,297,975,184/40,781
  6. Step 6: Final answer
    x = 80,870.39

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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.