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Finding the Third Proportional to 1,768.13 and 3,153.75

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Solution

The third proportional to 1,768.13 and 3,153.75 is: 5,625.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,768.13 : 3,153.75 = 3,153.75 : x
  2. Step 2: Convert to fraction form
    1,768.13/3,153.75 = 3,153.75/x
  3. Step 3: Cross multiply
    1,768.13x = 3,153.75 × 3,153.75
  4. Step 4: Simplify right side
    1,768.13x = 9,946,139.06
  5. Step 5: Solve for x
    x = 9,946,139.06/1,768.13
  6. Step 6: Final answer
    x = 5,625.25

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Why These Related Problems?

These problems maintain the same ratio (1.78) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.