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Finding the Third Proportional to 416.81 and 559.22

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Solution

The third proportional to 416.81 and 559.22 is: 750.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    416.81 : 559.22 = 559.22 : x
  2. Step 2: Convert to fraction form
    416.81/559.22 = 559.22/x
  3. Step 3: Cross multiply
    416.81x = 559.22 × 559.22
  4. Step 4: Simplify right side
    416.81x = 312,725.61
  5. Step 5: Solve for x
    x = 312,725.61/416.81
  6. Step 6: Final answer
    x = 750.28

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Why These Related Problems?

These problems maintain the same ratio (1.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.