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Finding the Third Proportional to 68 and 120.13

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Solution

The third proportional to 68 and 120.13 is: 212.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    68 : 120.13 = 120.13 : x
  2. Step 2: Convert to fraction form
    68/120.13 = 120.13/x
  3. Step 3: Cross multiply
    68x = 120.13 × 120.13
  4. Step 4: Simplify right side
    68x = 14,430.02
  5. Step 5: Solve for x
    x = 14,430.02/68
  6. Step 6: Final answer
    x = 212.21

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Why These Related Problems?

These problems maintain the same ratio (1.77) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.