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Finding the Third Proportional to 3,940 and 9,700

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Solution

The third proportional to 3,940 and 9,700 is: 23,880.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,940 : 9,700 = 9,700 : x
  2. Step 2: Convert to fraction form
    3,940/9,700 = 9,700/x
  3. Step 3: Cross multiply
    3,940x = 9,700 × 9,700
  4. Step 4: Simplify right side
    3,940x = 94,090,000
  5. Step 5: Solve for x
    x = 94,090,000/3,940
  6. Step 6: Final answer
    x = 23,880.71

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Why These Related Problems?

These problems maintain the same ratio (2.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.