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Finding the Third Proportional to 1,112.48 and 1,736.12

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Solution

The third proportional to 1,112.48 and 1,736.12 is: 2,709.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,112.48 : 1,736.12 = 1,736.12 : x
  2. Step 2: Convert to fraction form
    1,112.48/1,736.12 = 1,736.12/x
  3. Step 3: Cross multiply
    1,112.48x = 1,736.12 × 1,736.12
  4. Step 4: Simplify right side
    1,112.48x = 3,014,116.45
  5. Step 5: Solve for x
    x = 3,014,116.45/1,112.48
  6. Step 6: Final answer
    x = 2,709.36

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These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.