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Finding the Third Proportional to 1,110.75 and 2,374.50

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Solution

The third proportional to 1,110.75 and 2,374.50 is: 5,076.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,110.75 : 2,374.50 = 2,374.50 : x
  2. Step 2: Convert to fraction form
    1,110.75/2,374.50 = 2,374.50/x
  3. Step 3: Cross multiply
    1,110.75x = 2,374.50 × 2,374.50
  4. Step 4: Simplify right side
    1,110.75x = 5,638,250.25
  5. Step 5: Solve for x
    x = 5,638,250.25/1,110.75
  6. Step 6: Final answer
    x = 5,076.07

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These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.