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Finding the Third Proportional to 210.88 and 308.38

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Solution

The third proportional to 210.88 and 308.38 is: 450.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    210.88 : 308.38 = 308.38 : x
  2. Step 2: Convert to fraction form
    210.88/308.38 = 308.38/x
  3. Step 3: Cross multiply
    210.88x = 308.38 × 308.38
  4. Step 4: Simplify right side
    210.88x = 95,095.14
  5. Step 5: Solve for x
    x = 95,095.14/210.88
  6. Step 6: Final answer
    x = 450.96

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.