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Finding the Third Proportional to 6,709.50 and 9,150.75

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Solution

The third proportional to 6,709.50 and 9,150.75 is: 12,480.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,709.50 : 9,150.75 = 9,150.75 : x
  2. Step 2: Convert to fraction form
    6,709.50/9,150.75 = 9,150.75/x
  3. Step 3: Cross multiply
    6,709.50x = 9,150.75 × 9,150.75
  4. Step 4: Simplify right side
    6,709.50x = 83,736,225.56
  5. Step 5: Solve for x
    x = 83,736,225.56/6,709.50
  6. Step 6: Final answer
    x = 12,480.25

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These problems maintain the same ratio (1.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.