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Finding the Third Proportional to 68 and 123.50

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Solution

The third proportional to 68 and 123.50 is: 224.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    68 : 123.50 = 123.50 : x
  2. Step 2: Convert to fraction form
    68/123.50 = 123.50/x
  3. Step 3: Cross multiply
    68x = 123.50 × 123.50
  4. Step 4: Simplify right side
    68x = 15,252.25
  5. Step 5: Solve for x
    x = 15,252.25/68
  6. Step 6: Final answer
    x = 224.30

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Why These Related Problems?

These problems maintain the same ratio (1.82) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.