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Finding the Third Proportional to 34.65 and 53.39

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Solution

The third proportional to 34.65 and 53.39 is: 82.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    34.65 : 53.39 = 53.39 : x
  2. Step 2: Convert to fraction form
    34.65/53.39 = 53.39/x
  3. Step 3: Cross multiply
    34.65x = 53.39 × 53.39
  4. Step 4: Simplify right side
    34.65x = 2,850.87
  5. Step 5: Solve for x
    x = 2,850.87/34.65
  6. Step 6: Final answer
    x = 82.28

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.