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Finding the Third Proportional to 51,410 and 68,379

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Solution

The third proportional to 51,410 and 68,379 is: 90,948.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    51,410 : 68,379 = 68,379 : x
  2. Step 2: Convert to fraction form
    51,410/68,379 = 68,379/x
  3. Step 3: Cross multiply
    51,410x = 68,379 × 68,379
  4. Step 4: Simplify right side
    51,410x = 4,675,687,641
  5. Step 5: Solve for x
    x = 4,675,687,641/51,410
  6. Step 6: Final answer
    x = 90,948.99

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Why These Related Problems?

These problems maintain the same ratio (1.33) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.