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Finding the Third Proportional to 210.38 and 454.01

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Solution

The third proportional to 210.38 and 454.01 is: 979.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    210.38 : 454.01 = 454.01 : x
  2. Step 2: Convert to fraction form
    210.38/454.01 = 454.01/x
  3. Step 3: Cross multiply
    210.38x = 454.01 × 454.01
  4. Step 4: Simplify right side
    210.38x = 206,123.09
  5. Step 5: Solve for x
    x = 206,123.09/210.38
  6. Step 6: Final answer
    x = 979.79

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.