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Finding the Third Proportional to 84,036 and 112,134

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Solution

The third proportional to 84,036 and 112,134 is: 149,626.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    84,036 : 112,134 = 112,134 : x
  2. Step 2: Convert to fraction form
    84,036/112,134 = 112,134/x
  3. Step 3: Cross multiply
    84,036x = 112,134 × 112,134
  4. Step 4: Simplify right side
    84,036x = 12,574,033,956
  5. Step 5: Solve for x
    x = 12,574,033,956/84,036
  6. Step 6: Final answer
    x = 149,626.75

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Why These Related Problems?

These problems maintain the same ratio (1.33) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.