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Finding the Third Proportional to 74,129 and 110,989

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Solution

The third proportional to 74,129 and 110,989 is: 166,177.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    74,129 : 110,989 = 110,989 : x
  2. Step 2: Convert to fraction form
    74,129/110,989 = 110,989/x
  3. Step 3: Cross multiply
    74,129x = 110,989 × 110,989
  4. Step 4: Simplify right side
    74,129x = 12,318,558,121
  5. Step 5: Solve for x
    x = 12,318,558,121/74,129
  6. Step 6: Final answer
    x = 166,177.31

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.