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Finding the Third Proportional to 5,397.75 and 10,694.25

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Solution

The third proportional to 5,397.75 and 10,694.25 is: 21,187.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,397.75 : 10,694.25 = 10,694.25 : x
  2. Step 2: Convert to fraction form
    5,397.75/10,694.25 = 10,694.25/x
  3. Step 3: Cross multiply
    5,397.75x = 10,694.25 × 10,694.25
  4. Step 4: Simplify right side
    5,397.75x = 114,366,983.06
  5. Step 5: Solve for x
    x = 114,366,983.06/5,397.75
  6. Step 6: Final answer
    x = 21,187.90

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Why These Related Problems?

These problems maintain the same ratio (1.98) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.