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Finding the Third Proportional to 508.25 and 809.38

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Solution

The third proportional to 508.25 and 809.38 is: 1,288.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    508.25 : 809.38 = 809.38 : x
  2. Step 2: Convert to fraction form
    508.25/809.38 = 809.38/x
  3. Step 3: Cross multiply
    508.25x = 809.38 × 809.38
  4. Step 4: Simplify right side
    508.25x = 655,087.89
  5. Step 5: Solve for x
    x = 655,087.89/508.25
  6. Step 6: Final answer
    x = 1,288.91

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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.