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Finding the Third Proportional to 85,591 and 128,402

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Solution

The third proportional to 85,591 and 128,402 is: 192,626.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    85,591 : 128,402 = 128,402 : x
  2. Step 2: Convert to fraction form
    85,591/128,402 = 128,402/x
  3. Step 3: Cross multiply
    85,591x = 128,402 × 128,402
  4. Step 4: Simplify right side
    85,591x = 16,487,073,604
  5. Step 5: Solve for x
    x = 16,487,073,604/85,591
  6. Step 6: Final answer
    x = 192,626.25

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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.