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Finding the Third Proportional to 5,429.53 and 10,221.19

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Solution

The third proportional to 5,429.53 and 10,221.19 is: 19,241.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,429.53 : 10,221.19 = 10,221.19 : x
  2. Step 2: Convert to fraction form
    5,429.53/10,221.19 = 10,221.19/x
  3. Step 3: Cross multiply
    5,429.53x = 10,221.19 × 10,221.19
  4. Step 4: Simplify right side
    5,429.53x = 104,472,673.91
  5. Step 5: Solve for x
    x = 104,472,673.91/5,429.53
  6. Step 6: Final answer
    x = 19,241.56

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Why These Related Problems?

These problems maintain the same ratio (1.88) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.