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Finding the Third Proportional to 109,561 and 169,179

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Solution

The third proportional to 109,561 and 169,179 is: 261,238.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    109,561 : 169,179 = 169,179 : x
  2. Step 2: Convert to fraction form
    109,561/169,179 = 169,179/x
  3. Step 3: Cross multiply
    109,561x = 169,179 × 169,179
  4. Step 4: Simplify right side
    109,561x = 28,621,534,041
  5. Step 5: Solve for x
    x = 28,621,534,041/109,561
  6. Step 6: Final answer
    x = 261,238.34

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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.