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Finding the Third Proportional to 17,309 and 36,778

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Solution

The third proportional to 17,309 and 36,778 is: 78,145.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,309 : 36,778 = 36,778 : x
  2. Step 2: Convert to fraction form
    17,309/36,778 = 36,778/x
  3. Step 3: Cross multiply
    17,309x = 36,778 × 36,778
  4. Step 4: Simplify right side
    17,309x = 1,352,621,284
  5. Step 5: Solve for x
    x = 1,352,621,284/17,309
  6. Step 6: Final answer
    x = 78,145.55

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.