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Finding the Third Proportional to 191.74 and 248.70

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Solution

The third proportional to 191.74 and 248.70 is: 322.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    191.74 : 248.70 = 248.70 : x
  2. Step 2: Convert to fraction form
    191.74/248.70 = 248.70/x
  3. Step 3: Cross multiply
    191.74x = 248.70 × 248.70
  4. Step 4: Simplify right side
    191.74x = 61,849.36
  5. Step 5: Solve for x
    x = 61,849.36/191.74
  6. Step 6: Final answer
    x = 322.57

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Why These Related Problems?

These problems maintain the same ratio (1.30) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.