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Finding the Third Proportional to 69.68 and 153.77

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Solution

The third proportional to 69.68 and 153.77 is: 339.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    69.68 : 153.77 = 153.77 : x
  2. Step 2: Convert to fraction form
    69.68/153.77 = 153.77/x
  3. Step 3: Cross multiply
    69.68x = 153.77 × 153.77
  4. Step 4: Simplify right side
    69.68x = 23,646.27
  5. Step 5: Solve for x
    x = 23,646.27/69.68
  6. Step 6: Final answer
    x = 339.36

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Why These Related Problems?

These problems maintain the same ratio (2.21) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.