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Finding the Third Proportional to 101.95 and 220.64

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Solution

The third proportional to 101.95 and 220.64 is: 477.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    101.95 : 220.64 = 220.64 : x
  2. Step 2: Convert to fraction form
    101.95/220.64 = 220.64/x
  3. Step 3: Cross multiply
    101.95x = 220.64 × 220.64
  4. Step 4: Simplify right side
    101.95x = 48,682.29
  5. Step 5: Solve for x
    x = 48,682.29/101.95
  6. Step 6: Final answer
    x = 477.50

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.