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Finding the Third Proportional to 74,074 and 111,120

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Solution

The third proportional to 74,074 and 111,120 is: 166,693.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    74,074 : 111,120 = 111,120 : x
  2. Step 2: Convert to fraction form
    74,074/111,120 = 111,120/x
  3. Step 3: Cross multiply
    74,074x = 111,120 × 111,120
  4. Step 4: Simplify right side
    74,074x = 12,347,654,400
  5. Step 5: Solve for x
    x = 12,347,654,400/74,074
  6. Step 6: Final answer
    x = 166,693.50

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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.