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Finding the Third Proportional to 2,268 and 4,708.50

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Solution

The third proportional to 2,268 and 4,708.50 is: 9,775.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,268 : 4,708.50 = 4,708.50 : x
  2. Step 2: Convert to fraction form
    2,268/4,708.50 = 4,708.50/x
  3. Step 3: Cross multiply
    2,268x = 4,708.50 × 4,708.50
  4. Step 4: Simplify right side
    2,268x = 22,169,972.25
  5. Step 5: Solve for x
    x = 22,169,972.25/2,268
  6. Step 6: Final answer
    x = 9,775.12

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.