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Finding the Third Proportional to 2,358.28 and 3,296.53

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Solution

The third proportional to 2,358.28 and 3,296.53 is: 4,608.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,358.28 : 3,296.53 = 3,296.53 : x
  2. Step 2: Convert to fraction form
    2,358.28/3,296.53 = 3,296.53/x
  3. Step 3: Cross multiply
    2,358.28x = 3,296.53 × 3,296.53
  4. Step 4: Simplify right side
    2,358.28x = 10,867,118.28
  5. Step 5: Solve for x
    x = 10,867,118.28/2,358.28
  6. Step 6: Final answer
    x = 4,608.07

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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.