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Finding the Third Proportional to 85,289 and 133,491

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Solution

The third proportional to 85,289 and 133,491 is: 208,934.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    85,289 : 133,491 = 133,491 : x
  2. Step 2: Convert to fraction form
    85,289/133,491 = 133,491/x
  3. Step 3: Cross multiply
    85,289x = 133,491 × 133,491
  4. Step 4: Simplify right side
    85,289x = 17,819,847,081
  5. Step 5: Solve for x
    x = 17,819,847,081/85,289
  6. Step 6: Final answer
    x = 208,934.88

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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.