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Finding the Third Proportional to 1,723.78 and 2,253.45

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Solution

The third proportional to 1,723.78 and 2,253.45 is: 2,945.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,723.78 : 2,253.45 = 2,253.45 : x
  2. Step 2: Convert to fraction form
    1,723.78/2,253.45 = 2,253.45/x
  3. Step 3: Cross multiply
    1,723.78x = 2,253.45 × 2,253.45
  4. Step 4: Simplify right side
    1,723.78x = 5,078,015.78
  5. Step 5: Solve for x
    x = 5,078,015.78/1,723.78
  6. Step 6: Final answer
    x = 2,945.86

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These problems maintain the same ratio (1.31) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.