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Finding the Third Proportional to 85,855 and 131,345

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Solution

The third proportional to 85,855 and 131,345 is: 200,937.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    85,855 : 131,345 = 131,345 : x
  2. Step 2: Convert to fraction form
    85,855/131,345 = 131,345/x
  3. Step 3: Cross multiply
    85,855x = 131,345 × 131,345
  4. Step 4: Simplify right side
    85,855x = 17,251,509,025
  5. Step 5: Solve for x
    x = 17,251,509,025/85,855
  6. Step 6: Final answer
    x = 200,937.73

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.