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Finding the Third Proportional to 1,372.78 and 1,888.31

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Solution

The third proportional to 1,372.78 and 1,888.31 is: 2,597.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,372.78 : 1,888.31 = 1,888.31 : x
  2. Step 2: Convert to fraction form
    1,372.78/1,888.31 = 1,888.31/x
  3. Step 3: Cross multiply
    1,372.78x = 1,888.31 × 1,888.31
  4. Step 4: Simplify right side
    1,372.78x = 3,565,724.10
  5. Step 5: Solve for x
    x = 3,565,724.10/1,372.78
  6. Step 6: Final answer
    x = 2,597.45

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.