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Finding the Third Proportional to 74,184 and 111,420

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Solution

The third proportional to 74,184 and 111,420 is: 167,346.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    74,184 : 111,420 = 111,420 : x
  2. Step 2: Convert to fraction form
    74,184/111,420 = 111,420/x
  3. Step 3: Cross multiply
    74,184x = 111,420 × 111,420
  4. Step 4: Simplify right side
    74,184x = 12,414,416,400
  5. Step 5: Solve for x
    x = 12,414,416,400/74,184
  6. Step 6: Final answer
    x = 167,346.28

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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.