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Finding the Third Proportional to 211.78 and 488.11

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Solution

The third proportional to 211.78 and 488.11 is: 1,124.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    211.78 : 488.11 = 488.11 : x
  2. Step 2: Convert to fraction form
    211.78/488.11 = 488.11/x
  3. Step 3: Cross multiply
    211.78x = 488.11 × 488.11
  4. Step 4: Simplify right side
    211.78x = 238,250.76
  5. Step 5: Solve for x
    x = 238,250.76/211.78
  6. Step 6: Final answer
    x = 1,124.99

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Why These Related Problems?

These problems maintain the same ratio (2.30) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.