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Finding the Third Proportional to 39,864 and 86,064

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Solution

The third proportional to 39,864 and 86,064 is: 185,807.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    39,864 : 86,064 = 86,064 : x
  2. Step 2: Convert to fraction form
    39,864/86,064 = 86,064/x
  3. Step 3: Cross multiply
    39,864x = 86,064 × 86,064
  4. Step 4: Simplify right side
    39,864x = 7,407,012,096
  5. Step 5: Solve for x
    x = 7,407,012,096/39,864
  6. Step 6: Final answer
    x = 185,807.05

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.