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Finding the Third Proportional to 109,518 and 159,173

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Solution

The third proportional to 109,518 and 159,173 is: 231,341.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    109,518 : 159,173 = 159,173 : x
  2. Step 2: Convert to fraction form
    109,518/159,173 = 159,173/x
  3. Step 3: Cross multiply
    109,518x = 159,173 × 159,173
  4. Step 4: Simplify right side
    109,518x = 25,336,043,929
  5. Step 5: Solve for x
    x = 25,336,043,929/109,518
  6. Step 6: Final answer
    x = 231,341.37

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Why These Related Problems?

These problems maintain the same ratio (1.45) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.