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Finding the Third Proportional to 85,629 and 136,371

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Solution

The third proportional to 85,629 and 136,371 is: 217,181.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    85,629 : 136,371 = 136,371 : x
  2. Step 2: Convert to fraction form
    85,629/136,371 = 136,371/x
  3. Step 3: Cross multiply
    85,629x = 136,371 × 136,371
  4. Step 4: Simplify right side
    85,629x = 18,597,049,641
  5. Step 5: Solve for x
    x = 18,597,049,641/85,629
  6. Step 6: Final answer
    x = 217,181.67

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.