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Finding the Third Proportional to 63.19 and 73.31

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Solution

The third proportional to 63.19 and 73.31 is: 85.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    63.19 : 73.31 = 73.31 : x
  2. Step 2: Convert to fraction form
    63.19/73.31 = 73.31/x
  3. Step 3: Cross multiply
    63.19x = 73.31 × 73.31
  4. Step 4: Simplify right side
    63.19x = 5,374.72
  5. Step 5: Solve for x
    x = 5,374.72/63.19
  6. Step 6: Final answer
    x = 85.06

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Why These Related Problems?

These problems maintain the same ratio (1.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.