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Finding the Third Proportional to 40,400 and 86,768

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Solution

The third proportional to 40,400 and 86,768 is: 186,353.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    40,400 : 86,768 = 86,768 : x
  2. Step 2: Convert to fraction form
    40,400/86,768 = 86,768/x
  3. Step 3: Cross multiply
    40,400x = 86,768 × 86,768
  4. Step 4: Simplify right side
    40,400x = 7,528,685,824
  5. Step 5: Solve for x
    x = 7,528,685,824/40,400
  6. Step 6: Final answer
    x = 186,353.61

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.