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Finding the Third Proportional to 36,036 and 55,989

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Solution

The third proportional to 36,036 and 55,989 is: 86,989.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    36,036 : 55,989 = 55,989 : x
  2. Step 2: Convert to fraction form
    36,036/55,989 = 55,989/x
  3. Step 3: Cross multiply
    36,036x = 55,989 × 55,989
  4. Step 4: Simplify right side
    36,036x = 3,134,768,121
  5. Step 5: Solve for x
    x = 3,134,768,121/36,036
  6. Step 6: Final answer
    x = 86,989.90

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.