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Finding the Third Proportional to 109,560 and 169,178

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Solution

The third proportional to 109,560 and 169,178 is: 261,237.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    109,560 : 169,178 = 169,178 : x
  2. Step 2: Convert to fraction form
    109,560/169,178 = 169,178/x
  3. Step 3: Cross multiply
    109,560x = 169,178 × 169,178
  4. Step 4: Simplify right side
    109,560x = 28,621,195,684
  5. Step 5: Solve for x
    x = 28,621,195,684/109,560
  6. Step 6: Final answer
    x = 261,237.64

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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.