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Finding the Third Proportional to 74,178 and 111,903

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Solution

The third proportional to 74,178 and 111,903 is: 168,813.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    74,178 : 111,903 = 111,903 : x
  2. Step 2: Convert to fraction form
    74,178/111,903 = 111,903/x
  3. Step 3: Cross multiply
    74,178x = 111,903 × 111,903
  4. Step 4: Simplify right side
    74,178x = 12,522,281,409
  5. Step 5: Solve for x
    x = 12,522,281,409/74,178
  6. Step 6: Final answer
    x = 168,813.95

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.