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Finding the Third Proportional to 7,970 and 17,420

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Solution

The third proportional to 7,970 and 17,420 is: 38,074.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,970 : 17,420 = 17,420 : x
  2. Step 2: Convert to fraction form
    7,970/17,420 = 17,420/x
  3. Step 3: Cross multiply
    7,970x = 17,420 × 17,420
  4. Step 4: Simplify right side
    7,970x = 303,456,400
  5. Step 5: Solve for x
    x = 303,456,400/7,970
  6. Step 6: Final answer
    x = 38,074.83

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.