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Finding the Third Proportional to 3,783.75 and 5,775.56

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Solution

The third proportional to 3,783.75 and 5,775.56 is: 8,815.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,783.75 : 5,775.56 = 5,775.56 : x
  2. Step 2: Convert to fraction form
    3,783.75/5,775.56 = 5,775.56/x
  3. Step 3: Cross multiply
    3,783.75x = 5,775.56 × 5,775.56
  4. Step 4: Simplify right side
    3,783.75x = 33,357,122.19
  5. Step 5: Solve for x
    x = 33,357,122.19/3,783.75
  6. Step 6: Final answer
    x = 8,815.89

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.