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Finding the Third Proportional to 112.63 and 261.13

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Solution

The third proportional to 112.63 and 261.13 is: 605.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    112.63 : 261.13 = 261.13 : x
  2. Step 2: Convert to fraction form
    112.63/261.13 = 261.13/x
  3. Step 3: Cross multiply
    112.63x = 261.13 × 261.13
  4. Step 4: Simplify right side
    112.63x = 68,186.27
  5. Step 5: Solve for x
    x = 68,186.27/112.63
  6. Step 6: Final answer
    x = 605.43

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Why These Related Problems?

These problems maintain the same ratio (2.32) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.