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Finding the Third Proportional to 85,849 and 130,231

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Solution

The third proportional to 85,849 and 130,231 is: 197,557.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    85,849 : 130,231 = 130,231 : x
  2. Step 2: Convert to fraction form
    85,849/130,231 = 130,231/x
  3. Step 3: Cross multiply
    85,849x = 130,231 × 130,231
  4. Step 4: Simplify right side
    85,849x = 16,960,113,361
  5. Step 5: Solve for x
    x = 16,960,113,361/85,849
  6. Step 6: Final answer
    x = 197,557.49

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.