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Finding the Third Proportional to 4,090.50 and 6,212.53

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Solution

The third proportional to 4,090.50 and 6,212.53 is: 9,435.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,090.50 : 6,212.53 = 6,212.53 : x
  2. Step 2: Convert to fraction form
    4,090.50/6,212.53 = 6,212.53/x
  3. Step 3: Cross multiply
    4,090.50x = 6,212.53 × 6,212.53
  4. Step 4: Simplify right side
    4,090.50x = 38,595,544.53
  5. Step 5: Solve for x
    x = 38,595,544.53/4,090.50
  6. Step 6: Final answer
    x = 9,435.41

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.