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Finding the Third Proportional to 210.38 and 326.95

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Solution

The third proportional to 210.38 and 326.95 is: 508.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    210.38 : 326.95 = 326.95 : x
  2. Step 2: Convert to fraction form
    210.38/326.95 = 326.95/x
  3. Step 3: Cross multiply
    210.38x = 326.95 × 326.95
  4. Step 4: Simplify right side
    210.38x = 106,898.35
  5. Step 5: Solve for x
    x = 106,898.35/210.38
  6. Step 6: Final answer
    x = 508.13

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.