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Finding the Third Proportional to 3,496.50 and 5,473.13

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Solution

The third proportional to 3,496.50 and 5,473.13 is: 8,567.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,496.50 : 5,473.13 = 5,473.13 : x
  2. Step 2: Convert to fraction form
    3,496.50/5,473.13 = 5,473.13/x
  3. Step 3: Cross multiply
    3,496.50x = 5,473.13 × 5,473.13
  4. Step 4: Simplify right side
    3,496.50x = 29,955,097.27
  5. Step 5: Solve for x
    x = 29,955,097.27/3,496.50
  6. Step 6: Final answer
    x = 8,567.17

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Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.