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Finding the Third Proportional to 621.63 and 961.24

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Solution

The third proportional to 621.63 and 961.24 is: 1,486.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    621.63 : 961.24 = 961.24 : x
  2. Step 2: Convert to fraction form
    621.63/961.24 = 961.24/x
  3. Step 3: Cross multiply
    621.63x = 961.24 × 961.24
  4. Step 4: Simplify right side
    621.63x = 923,986.54
  5. Step 5: Solve for x
    x = 923,986.54/621.63
  6. Step 6: Final answer
    x = 1,486.39

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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.