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Finding the Third Proportional to 7,840 and 17,260

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Solution

The third proportional to 7,840 and 17,260 is: 37,998.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,840 : 17,260 = 17,260 : x
  2. Step 2: Convert to fraction form
    7,840/17,260 = 17,260/x
  3. Step 3: Cross multiply
    7,840x = 17,260 × 17,260
  4. Step 4: Simplify right side
    7,840x = 297,907,600
  5. Step 5: Solve for x
    x = 297,907,600/7,840
  6. Step 6: Final answer
    x = 37,998.42

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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.