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Finding the Third Proportional to 516.66 and 921.09

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Solution

The third proportional to 516.66 and 921.09 is: 1,642.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    516.66 : 921.09 = 921.09 : x
  2. Step 2: Convert to fraction form
    516.66/921.09 = 921.09/x
  3. Step 3: Cross multiply
    516.66x = 921.09 × 921.09
  4. Step 4: Simplify right side
    516.66x = 848,413.70
  5. Step 5: Solve for x
    x = 848,413.70/516.66
  6. Step 6: Final answer
    x = 1,642.12

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Why These Related Problems?

These problems maintain the same ratio (1.78) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.