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Finding the Third Proportional to 109,559 and 169,176

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Solution

The third proportional to 109,559 and 169,176 is: 261,233.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    109,559 : 169,176 = 169,176 : x
  2. Step 2: Convert to fraction form
    109,559/169,176 = 169,176/x
  3. Step 3: Cross multiply
    109,559x = 169,176 × 169,176
  4. Step 4: Simplify right side
    109,559x = 28,620,518,976
  5. Step 5: Solve for x
    x = 28,620,518,976/109,559
  6. Step 6: Final answer
    x = 261,233.85

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.