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Finding the Third Proportional to 3,949.70 and 9,316.11

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Solution

The third proportional to 3,949.70 and 9,316.11 is: 21,973.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,949.70 : 9,316.11 = 9,316.11 : x
  2. Step 2: Convert to fraction form
    3,949.70/9,316.11 = 9,316.11/x
  3. Step 3: Cross multiply
    3,949.70x = 9,316.11 × 9,316.11
  4. Step 4: Simplify right side
    3,949.70x = 86,789,857.50
  5. Step 5: Solve for x
    x = 86,789,857.50/3,949.70
  6. Step 6: Final answer
    x = 21,973.79

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Why These Related Problems?

These problems maintain the same ratio (2.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.