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Finding the Third Proportional to 40,078 and 86,190

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Solution

The third proportional to 40,078 and 86,190 is: 185,356.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    40,078 : 86,190 = 86,190 : x
  2. Step 2: Convert to fraction form
    40,078/86,190 = 86,190/x
  3. Step 3: Cross multiply
    40,078x = 86,190 × 86,190
  4. Step 4: Simplify right side
    40,078x = 7,428,716,100
  5. Step 5: Solve for x
    x = 7,428,716,100/40,078
  6. Step 6: Final answer
    x = 185,356.46

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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.