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Finding the Third Proportional to 778.22 and 946.55

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Solution

The third proportional to 778.22 and 946.55 is: 1,151.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    778.22 : 946.55 = 946.55 : x
  2. Step 2: Convert to fraction form
    778.22/946.55 = 946.55/x
  3. Step 3: Cross multiply
    778.22x = 946.55 × 946.55
  4. Step 4: Simplify right side
    778.22x = 895,950.99
  5. Step 5: Solve for x
    x = 895,950.99/778.22
  6. Step 6: Final answer
    x = 1,151.28

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Why These Related Problems?

These problems maintain the same ratio (1.22) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.