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Finding the Third Proportional to 50.46 and 64.87

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Solution

The third proportional to 50.46 and 64.87 is: 83.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    50.46 : 64.87 = 64.87 : x
  2. Step 2: Convert to fraction form
    50.46/64.87 = 64.87/x
  3. Step 3: Cross multiply
    50.46x = 64.87 × 64.87
  4. Step 4: Simplify right side
    50.46x = 4,208.53
  5. Step 5: Solve for x
    x = 4,208.53/50.46
  6. Step 6: Final answer
    x = 83.41

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Why These Related Problems?

These problems maintain the same ratio (1.29) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.