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Finding the Third Proportional to 169,838 and 217,821

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Solution

The third proportional to 169,838 and 217,821 is: 279,360.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    169,838 : 217,821 = 217,821 : x
  2. Step 2: Convert to fraction form
    169,838/217,821 = 217,821/x
  3. Step 3: Cross multiply
    169,838x = 217,821 × 217,821
  4. Step 4: Simplify right side
    169,838x = 47,445,988,041
  5. Step 5: Solve for x
    x = 47,445,988,041/169,838
  6. Step 6: Final answer
    x = 279,360.26

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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.