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Finding the Third Proportional to 40,776 and 57,420

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Solution

The third proportional to 40,776 and 57,420 is: 80,857.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    40,776 : 57,420 = 57,420 : x
  2. Step 2: Convert to fraction form
    40,776/57,420 = 57,420/x
  3. Step 3: Cross multiply
    40,776x = 57,420 × 57,420
  4. Step 4: Simplify right side
    40,776x = 3,297,056,400
  5. Step 5: Solve for x
    x = 3,297,056,400/40,776
  6. Step 6: Final answer
    x = 80,857.77

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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.