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Finding the Third Proportional to 211.15 and 454.99

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Solution

The third proportional to 211.15 and 454.99 is: 980.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    211.15 : 454.99 = 454.99 : x
  2. Step 2: Convert to fraction form
    211.15/454.99 = 454.99/x
  3. Step 3: Cross multiply
    211.15x = 454.99 × 454.99
  4. Step 4: Simplify right side
    211.15x = 207,017.89
  5. Step 5: Solve for x
    x = 207,017.89/211.15
  6. Step 6: Final answer
    x = 980.44

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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.