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Finding the Third Proportional to 85,554 and 134,387

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Solution

The third proportional to 85,554 and 134,387 is: 211,093.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    85,554 : 134,387 = 134,387 : x
  2. Step 2: Convert to fraction form
    85,554/134,387 = 134,387/x
  3. Step 3: Cross multiply
    85,554x = 134,387 × 134,387
  4. Step 4: Simplify right side
    85,554x = 18,059,865,769
  5. Step 5: Solve for x
    x = 18,059,865,769/85,554
  6. Step 6: Final answer
    x = 211,093.18

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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.