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Finding the Third Proportional to 85,814 and 131,274

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Solution

The third proportional to 85,814 and 131,274 is: 200,816.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    85,814 : 131,274 = 131,274 : x
  2. Step 2: Convert to fraction form
    85,814/131,274 = 131,274/x
  3. Step 3: Cross multiply
    85,814x = 131,274 × 131,274
  4. Step 4: Simplify right side
    85,814x = 17,232,863,076
  5. Step 5: Solve for x
    x = 17,232,863,076/85,814
  6. Step 6: Final answer
    x = 200,816.45

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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.