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Finding the Third Proportional to 17,890 and 35,329

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Solution

The third proportional to 17,890 and 35,329 is: 69,767.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,890 : 35,329 = 35,329 : x
  2. Step 2: Convert to fraction form
    17,890/35,329 = 35,329/x
  3. Step 3: Cross multiply
    17,890x = 35,329 × 35,329
  4. Step 4: Simplify right side
    17,890x = 1,248,138,241
  5. Step 5: Solve for x
    x = 1,248,138,241/17,890
  6. Step 6: Final answer
    x = 69,767.37

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Why These Related Problems?

These problems maintain the same ratio (1.97) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.