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Finding the Third Proportional to 63.13 and 145.81

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Solution

The third proportional to 63.13 and 145.81 is: 336.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    63.13 : 145.81 = 145.81 : x
  2. Step 2: Convert to fraction form
    63.13/145.81 = 145.81/x
  3. Step 3: Cross multiply
    63.13x = 145.81 × 145.81
  4. Step 4: Simplify right side
    63.13x = 21,261.29
  5. Step 5: Solve for x
    x = 21,261.29/63.13
  6. Step 6: Final answer
    x = 336.81

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Why These Related Problems?

These problems maintain the same ratio (2.31) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.