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Finding the Third Proportional to 200.76 and 215.95

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Solution

The third proportional to 200.76 and 215.95 is: 232.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    200.76 : 215.95 = 215.95 : x
  2. Step 2: Convert to fraction form
    200.76/215.95 = 215.95/x
  3. Step 3: Cross multiply
    200.76x = 215.95 × 215.95
  4. Step 4: Simplify right side
    200.76x = 46,633.22
  5. Step 5: Solve for x
    x = 46,633.22/200.76
  6. Step 6: Final answer
    x = 232.28

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Why These Related Problems?

These problems maintain the same ratio (1.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.