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Finding the Third Proportional to 506.75 and 1,095.25

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Solution

The third proportional to 506.75 and 1,095.25 is: 2,367.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    506.75 : 1,095.25 = 1,095.25 : x
  2. Step 2: Convert to fraction form
    506.75/1,095.25 = 1,095.25/x
  3. Step 3: Cross multiply
    506.75x = 1,095.25 × 1,095.25
  4. Step 4: Simplify right side
    506.75x = 1,199,572.56
  5. Step 5: Solve for x
    x = 1,199,572.56/506.75
  6. Step 6: Final answer
    x = 2,367.19

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.