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Finding the Third Proportional to 506.75 and 805.75

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Solution

The third proportional to 506.75 and 805.75 is: 1,281.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    506.75 : 805.75 = 805.75 : x
  2. Step 2: Convert to fraction form
    506.75/805.75 = 805.75/x
  3. Step 3: Cross multiply
    506.75x = 805.75 × 805.75
  4. Step 4: Simplify right side
    506.75x = 649,233.06
  5. Step 5: Solve for x
    x = 649,233.06/506.75
  6. Step 6: Final answer
    x = 1,281.17

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.