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Finding the Third Proportional to 2,296.13 and 3,051.56

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Solution

The third proportional to 2,296.13 and 3,051.56 is: 4,055.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,296.13 : 3,051.56 = 3,051.56 : x
  2. Step 2: Convert to fraction form
    2,296.13/3,051.56 = 3,051.56/x
  3. Step 3: Cross multiply
    2,296.13x = 3,051.56 × 3,051.56
  4. Step 4: Simplify right side
    2,296.13x = 9,312,033.69
  5. Step 5: Solve for x
    x = 9,312,033.69/2,296.13
  6. Step 6: Final answer
    x = 4,055.54

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Why These Related Problems?

These problems maintain the same ratio (1.33) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.