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Finding the Third Proportional to 169,836 and 217,818

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Solution

The third proportional to 169,836 and 217,818 is: 279,355.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    169,836 : 217,818 = 217,818 : x
  2. Step 2: Convert to fraction form
    169,836/217,818 = 217,818/x
  3. Step 3: Cross multiply
    169,836x = 217,818 × 217,818
  4. Step 4: Simplify right side
    169,836x = 47,444,681,124
  5. Step 5: Solve for x
    x = 47,444,681,124/169,836
  6. Step 6: Final answer
    x = 279,355.86

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Why These Related Problems?

These problems maintain the same ratio (1.28) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.