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Finding the Third Proportional to 506.75 and 726.38

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Solution

The third proportional to 506.75 and 726.38 is: 1,041.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    506.75 : 726.38 = 726.38 : x
  2. Step 2: Convert to fraction form
    506.75/726.38 = 726.38/x
  3. Step 3: Cross multiply
    506.75x = 726.38 × 726.38
  4. Step 4: Simplify right side
    506.75x = 527,620.64
  5. Step 5: Solve for x
    x = 527,620.64/506.75
  6. Step 6: Final answer
    x = 1,041.19

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Why These Related Problems?

These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.