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Finding the Third Proportional to 63 and 148.31

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Solution

The third proportional to 63 and 148.31 is: 349.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    63 : 148.31 = 148.31 : x
  2. Step 2: Convert to fraction form
    63/148.31 = 148.31/x
  3. Step 3: Cross multiply
    63x = 148.31 × 148.31
  4. Step 4: Simplify right side
    63x = 21,996.60
  5. Step 5: Solve for x
    x = 21,996.60/63
  6. Step 6: Final answer
    x = 349.15

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Why These Related Problems?

These problems maintain the same ratio (2.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.