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Finding the Third Proportional to 3,135 and 3,796.50

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Solution

The third proportional to 3,135 and 3,796.50 is: 4,597.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,135 : 3,796.50 = 3,796.50 : x
  2. Step 2: Convert to fraction form
    3,135/3,796.50 = 3,796.50/x
  3. Step 3: Cross multiply
    3,135x = 3,796.50 × 3,796.50
  4. Step 4: Simplify right side
    3,135x = 14,413,412.25
  5. Step 5: Solve for x
    x = 14,413,412.25/3,135
  6. Step 6: Final answer
    x = 4,597.58

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Why These Related Problems?

These problems maintain the same ratio (1.21) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.