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Finding the Third Proportional to 1,750.78 and 2,196.28

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Solution

The third proportional to 1,750.78 and 2,196.28 is: 2,755.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,750.78 : 2,196.28 = 2,196.28 : x
  2. Step 2: Convert to fraction form
    1,750.78/2,196.28 = 2,196.28/x
  3. Step 3: Cross multiply
    1,750.78x = 2,196.28 × 2,196.28
  4. Step 4: Simplify right side
    1,750.78x = 4,823,651.33
  5. Step 5: Solve for x
    x = 4,823,651.33/1,750.78
  6. Step 6: Final answer
    x = 2,755.14

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These problems maintain the same ratio (1.25) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.