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Finding the Third Proportional to 62.94 and 68.56

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Solution

The third proportional to 62.94 and 68.56 is: 74.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    62.94 : 68.56 = 68.56 : x
  2. Step 2: Convert to fraction form
    62.94/68.56 = 68.56/x
  3. Step 3: Cross multiply
    62.94x = 68.56 × 68.56
  4. Step 4: Simplify right side
    62.94x = 4,700.82
  5. Step 5: Solve for x
    x = 4,700.82/62.94
  6. Step 6: Final answer
    x = 74.69

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Why These Related Problems?

These problems maintain the same ratio (1.09) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.