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Finding the Third Proportional to 774.84 and 1,722.66

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Solution

The third proportional to 774.84 and 1,722.66 is: 3,829.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    774.84 : 1,722.66 = 1,722.66 : x
  2. Step 2: Convert to fraction form
    774.84/1,722.66 = 1,722.66/x
  3. Step 3: Cross multiply
    774.84x = 1,722.66 × 1,722.66
  4. Step 4: Simplify right side
    774.84x = 2,967,544.56
  5. Step 5: Solve for x
    x = 2,967,544.56/774.84
  6. Step 6: Final answer
    x = 3,829.86

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Why These Related Problems?

These problems maintain the same ratio (2.22) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.