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Finding the Third Proportional to 9,452.25 and 13,245.50

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Solution

The third proportional to 9,452.25 and 13,245.50 is: 18,561.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,452.25 : 13,245.50 = 13,245.50 : x
  2. Step 2: Convert to fraction form
    9,452.25/13,245.50 = 13,245.50/x
  3. Step 3: Cross multiply
    9,452.25x = 13,245.50 × 13,245.50
  4. Step 4: Simplify right side
    9,452.25x = 175,443,270.25
  5. Step 5: Solve for x
    x = 175,443,270.25/9,452.25
  6. Step 6: Final answer
    x = 18,561.01

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These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.