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Finding the Third Proportional to 75.50 and 193.75

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Solution

The third proportional to 75.50 and 193.75 is: 497.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    75.50 : 193.75 = 193.75 : x
  2. Step 2: Convert to fraction form
    75.50/193.75 = 193.75/x
  3. Step 3: Cross multiply
    75.50x = 193.75 × 193.75
  4. Step 4: Simplify right side
    75.50x = 37,539.06
  5. Step 5: Solve for x
    x = 37,539.06/75.50
  6. Step 6: Final answer
    x = 497.21

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Why These Related Problems?

These problems maintain the same ratio (2.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.