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Finding the Third Proportional to 40,121 and 56,087

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Solution

The third proportional to 40,121 and 56,087 is: 78,406.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    40,121 : 56,087 = 56,087 : x
  2. Step 2: Convert to fraction form
    40,121/56,087 = 56,087/x
  3. Step 3: Cross multiply
    40,121x = 56,087 × 56,087
  4. Step 4: Simplify right side
    40,121x = 3,145,751,569
  5. Step 5: Solve for x
    x = 3,145,751,569/40,121
  6. Step 6: Final answer
    x = 78,406.61

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Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.