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Finding the Third Proportional to 85,717 and 128,491

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Solution

The third proportional to 85,717 and 128,491 is: 192,609.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    85,717 : 128,491 = 128,491 : x
  2. Step 2: Convert to fraction form
    85,717/128,491 = 128,491/x
  3. Step 3: Cross multiply
    85,717x = 128,491 × 128,491
  4. Step 4: Simplify right side
    85,717x = 16,509,937,081
  5. Step 5: Solve for x
    x = 16,509,937,081/85,717
  6. Step 6: Final answer
    x = 192,609.83

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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.