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Finding the Third Proportional to 64,865 and 82,884

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Solution

The third proportional to 64,865 and 82,884 is: 105,908.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    64,865 : 82,884 = 82,884 : x
  2. Step 2: Convert to fraction form
    64,865/82,884 = 82,884/x
  3. Step 3: Cross multiply
    64,865x = 82,884 × 82,884
  4. Step 4: Simplify right side
    64,865x = 6,869,757,456
  5. Step 5: Solve for x
    x = 6,869,757,456/64,865
  6. Step 6: Final answer
    x = 105,908.54

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Why These Related Problems?

These problems maintain the same ratio (1.28) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.