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Finding the Third Proportional to 5,145.75 and 5,505.19

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Solution

The third proportional to 5,145.75 and 5,505.19 is: 5,889.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,145.75 : 5,505.19 = 5,505.19 : x
  2. Step 2: Convert to fraction form
    5,145.75/5,505.19 = 5,505.19/x
  3. Step 3: Cross multiply
    5,145.75x = 5,505.19 × 5,505.19
  4. Step 4: Simplify right side
    5,145.75x = 30,307,089.41
  5. Step 5: Solve for x
    x = 30,307,089.41/5,145.75
  6. Step 6: Final answer
    x = 5,889.73

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Why These Related Problems?

These problems maintain the same ratio (1.07) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.