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Finding the Third Proportional to 7,287.75 and 8,345.25

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Solution

The third proportional to 7,287.75 and 8,345.25 is: 9,556.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,287.75 : 8,345.25 = 8,345.25 : x
  2. Step 2: Convert to fraction form
    7,287.75/8,345.25 = 8,345.25/x
  3. Step 3: Cross multiply
    7,287.75x = 8,345.25 × 8,345.25
  4. Step 4: Simplify right side
    7,287.75x = 69,643,197.56
  5. Step 5: Solve for x
    x = 69,643,197.56/7,287.75
  6. Step 6: Final answer
    x = 9,556.20

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Why These Related Problems?

These problems maintain the same ratio (1.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.