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Finding the Third Proportional to 776.44 and 1,201.78

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Solution

The third proportional to 776.44 and 1,201.78 is: 1,860.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    776.44 : 1,201.78 = 1,201.78 : x
  2. Step 2: Convert to fraction form
    776.44/1,201.78 = 1,201.78/x
  3. Step 3: Cross multiply
    776.44x = 1,201.78 × 1,201.78
  4. Step 4: Simplify right side
    776.44x = 1,444,278.17
  5. Step 5: Solve for x
    x = 1,444,278.17/776.44
  6. Step 6: Final answer
    x = 1,860.13

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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.