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Finding the Third Proportional to 219.27 and 508.31

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Solution

The third proportional to 219.27 and 508.31 is: 1,178.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    219.27 : 508.31 = 508.31 : x
  2. Step 2: Convert to fraction form
    219.27/508.31 = 508.31/x
  3. Step 3: Cross multiply
    219.27x = 508.31 × 508.31
  4. Step 4: Simplify right side
    219.27x = 258,375.64
  5. Step 5: Solve for x
    x = 258,375.64/219.27
  6. Step 6: Final answer
    x = 1,178.35

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Why These Related Problems?

These problems maintain the same ratio (2.32) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.