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Finding the Third Proportional to 211.03 and 302.06

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Solution

The third proportional to 211.03 and 302.06 is: 432.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    211.03 : 302.06 = 302.06 : x
  2. Step 2: Convert to fraction form
    211.03/302.06 = 302.06/x
  3. Step 3: Cross multiply
    211.03x = 302.06 × 302.06
  4. Step 4: Simplify right side
    211.03x = 91,241.75
  5. Step 5: Solve for x
    x = 91,241.75/211.03
  6. Step 6: Final answer
    x = 432.36

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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.