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Finding the Third Proportional to 1,034.02 and 2,236.78

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Solution

The third proportional to 1,034.02 and 2,236.78 is: 4,838.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,034.02 : 2,236.78 = 2,236.78 : x
  2. Step 2: Convert to fraction form
    1,034.02/2,236.78 = 2,236.78/x
  3. Step 3: Cross multiply
    1,034.02x = 2,236.78 × 2,236.78
  4. Step 4: Simplify right side
    1,034.02x = 5,003,190.36
  5. Step 5: Solve for x
    x = 5,003,190.36/1,034.02
  6. Step 6: Final answer
    x = 4,838.60

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These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.