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Finding the Third Proportional to 215.98 and 455.18

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Solution

The third proportional to 215.98 and 455.18 is: 959.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    215.98 : 455.18 = 455.18 : x
  2. Step 2: Convert to fraction form
    215.98/455.18 = 455.18/x
  3. Step 3: Cross multiply
    215.98x = 455.18 × 455.18
  4. Step 4: Simplify right side
    215.98x = 207,188.88
  5. Step 5: Solve for x
    x = 207,188.88/215.98
  6. Step 6: Final answer
    x = 959.31

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Why These Related Problems?

These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.