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Finding the Third Proportional to 112.74 and 243.51

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Solution

The third proportional to 112.74 and 243.51 is: 525.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    112.74 : 243.51 = 243.51 : x
  2. Step 2: Convert to fraction form
    112.74/243.51 = 243.51/x
  3. Step 3: Cross multiply
    112.74x = 243.51 × 243.51
  4. Step 4: Simplify right side
    112.74x = 59,296.12
  5. Step 5: Solve for x
    x = 59,296.12/112.74
  6. Step 6: Final answer
    x = 525.98

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.