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Finding the Third Proportional to 1,120.50 and 1,368.56

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Solution

The third proportional to 1,120.50 and 1,368.56 is: 1,671.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,120.50 : 1,368.56 = 1,368.56 : x
  2. Step 2: Convert to fraction form
    1,120.50/1,368.56 = 1,368.56/x
  3. Step 3: Cross multiply
    1,120.50x = 1,368.56 × 1,368.56
  4. Step 4: Simplify right side
    1,120.50x = 1,872,963.32
  5. Step 5: Solve for x
    x = 1,872,963.32/1,120.50
  6. Step 6: Final answer
    x = 1,671.54

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These problems maintain the same ratio (1.22) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.