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Finding the Third Proportional to 9,784.55 and 11,481.75

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Solution

The third proportional to 9,784.55 and 11,481.75 is: 13,473.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,784.55 : 11,481.75 = 11,481.75 : x
  2. Step 2: Convert to fraction form
    9,784.55/11,481.75 = 11,481.75/x
  3. Step 3: Cross multiply
    9,784.55x = 11,481.75 × 11,481.75
  4. Step 4: Simplify right side
    9,784.55x = 131,830,583.06
  5. Step 5: Solve for x
    x = 131,830,583.06/9,784.55
  6. Step 6: Final answer
    x = 13,473.35

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Why These Related Problems?

These problems maintain the same ratio (1.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.