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Finding the Third Proportional to 85,593 and 128,405

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Solution

The third proportional to 85,593 and 128,405 is: 192,630.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    85,593 : 128,405 = 128,405 : x
  2. Step 2: Convert to fraction form
    85,593/128,405 = 128,405/x
  3. Step 3: Cross multiply
    85,593x = 128,405 × 128,405
  4. Step 4: Simplify right side
    85,593x = 16,487,844,025
  5. Step 5: Solve for x
    x = 16,487,844,025/85,593
  6. Step 6: Final answer
    x = 192,630.75

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.