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Finding the Third Proportional to 98.30 and 211.78

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Solution

The third proportional to 98.30 and 211.78 is: 456.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    98.30 : 211.78 = 211.78 : x
  2. Step 2: Convert to fraction form
    98.30/211.78 = 211.78/x
  3. Step 3: Cross multiply
    98.30x = 211.78 × 211.78
  4. Step 4: Simplify right side
    98.30x = 44,851.30
  5. Step 5: Solve for x
    x = 44,851.30/98.30
  6. Step 6: Final answer
    x = 456.28

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.