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Finding the Third Proportional to 6,318 and 9,135.56

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Solution

The third proportional to 6,318 and 9,135.56 is: 13,209.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,318 : 9,135.56 = 9,135.56 : x
  2. Step 2: Convert to fraction form
    6,318/9,135.56 = 9,135.56/x
  3. Step 3: Cross multiply
    6,318x = 9,135.56 × 9,135.56
  4. Step 4: Simplify right side
    6,318x = 83,458,502.19
  5. Step 5: Solve for x
    x = 83,458,502.19/6,318
  6. Step 6: Final answer
    x = 13,209.64

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Why These Related Problems?

These problems maintain the same ratio (1.45) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.