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Finding the Third Proportional to 210.36 and 301.11

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Solution

The third proportional to 210.36 and 301.11 is: 431.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    210.36 : 301.11 = 301.11 : x
  2. Step 2: Convert to fraction form
    210.36/301.11 = 301.11/x
  3. Step 3: Cross multiply
    210.36x = 301.11 × 301.11
  4. Step 4: Simplify right side
    210.36x = 90,669.21
  5. Step 5: Solve for x
    x = 90,669.21/210.36
  6. Step 6: Final answer
    x = 431.02

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Why These Related Problems?

These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.