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Finding the Third Proportional to 169,219 and 371,906

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Solution

The third proportional to 169,219 and 371,906 is: 817,367.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    169,219 : 371,906 = 371,906 : x
  2. Step 2: Convert to fraction form
    169,219/371,906 = 371,906/x
  3. Step 3: Cross multiply
    169,219x = 371,906 × 371,906
  4. Step 4: Simplify right side
    169,219x = 138,314,072,836
  5. Step 5: Solve for x
    x = 138,314,072,836/169,219
  6. Step 6: Final answer
    x = 817,367.27

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.