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Finding the Third Proportional to 774.19 and 1,200.80

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Solution

The third proportional to 774.19 and 1,200.80 is: 1,862.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    774.19 : 1,200.80 = 1,200.80 : x
  2. Step 2: Convert to fraction form
    774.19/1,200.80 = 1,200.80/x
  3. Step 3: Cross multiply
    774.19x = 1,200.80 × 1,200.80
  4. Step 4: Simplify right side
    774.19x = 1,441,913.14
  5. Step 5: Solve for x
    x = 1,441,913.14/774.19
  6. Step 6: Final answer
    x = 1,862.49

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.