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Finding the Third Proportional to 63 and 133.31

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Solution

The third proportional to 63 and 133.31 is: 282.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    63 : 133.31 = 133.31 : x
  2. Step 2: Convert to fraction form
    63/133.31 = 133.31/x
  3. Step 3: Cross multiply
    63x = 133.31 × 133.31
  4. Step 4: Simplify right side
    63x = 17,772.22
  5. Step 5: Solve for x
    x = 17,772.22/63
  6. Step 6: Final answer
    x = 282.10

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.