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Finding the Third Proportional to 32,036 and 68,810

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Solution

The third proportional to 32,036 and 68,810 is: 147,796.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,036 : 68,810 = 68,810 : x
  2. Step 2: Convert to fraction form
    32,036/68,810 = 68,810/x
  3. Step 3: Cross multiply
    32,036x = 68,810 × 68,810
  4. Step 4: Simplify right side
    32,036x = 4,734,816,100
  5. Step 5: Solve for x
    x = 4,734,816,100/32,036
  6. Step 6: Final answer
    x = 147,796.73

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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.