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Finding the Third Proportional to 481.36 and 726.89

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Solution

The third proportional to 481.36 and 726.89 is: 1,097.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    481.36 : 726.89 = 726.89 : x
  2. Step 2: Convert to fraction form
    481.36/726.89 = 726.89/x
  3. Step 3: Cross multiply
    481.36x = 726.89 × 726.89
  4. Step 4: Simplify right side
    481.36x = 528,369.98
  5. Step 5: Solve for x
    x = 528,369.98/481.36
  6. Step 6: Final answer
    x = 1,097.66

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.