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Finding the Third Proportional to 112.50 and 245.88

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Solution

The third proportional to 112.50 and 245.88 is: 537.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    112.50 : 245.88 = 245.88 : x
  2. Step 2: Convert to fraction form
    112.50/245.88 = 245.88/x
  3. Step 3: Cross multiply
    112.50x = 245.88 × 245.88
  4. Step 4: Simplify right side
    112.50x = 60,458.36
  5. Step 5: Solve for x
    x = 60,458.36/112.50
  6. Step 6: Final answer
    x = 537.41

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.