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Finding the Third Proportional to 52.39 and 68.45

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Solution

The third proportional to 52.39 and 68.45 is: 89.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    52.39 : 68.45 = 68.45 : x
  2. Step 2: Convert to fraction form
    52.39/68.45 = 68.45/x
  3. Step 3: Cross multiply
    52.39x = 68.45 × 68.45
  4. Step 4: Simplify right side
    52.39x = 4,685.83
  5. Step 5: Solve for x
    x = 4,685.83/52.39
  6. Step 6: Final answer
    x = 89.44

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Why These Related Problems?

These problems maintain the same ratio (1.31) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.