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Finding the Third Proportional to 82,064 and 128,568

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Solution

The third proportional to 82,064 and 128,568 is: 201,424.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,064 : 128,568 = 128,568 : x
  2. Step 2: Convert to fraction form
    82,064/128,568 = 128,568/x
  3. Step 3: Cross multiply
    82,064x = 128,568 × 128,568
  4. Step 4: Simplify right side
    82,064x = 16,529,730,624
  5. Step 5: Solve for x
    x = 16,529,730,624/82,064
  6. Step 6: Final answer
    x = 201,424.87

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Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.