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Finding the Third Proportional to 68,965 and 105,455

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Solution

The third proportional to 68,965 and 105,455 is: 161,252.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    68,965 : 105,455 = 105,455 : x
  2. Step 2: Convert to fraction form
    68,965/105,455 = 105,455/x
  3. Step 3: Cross multiply
    68,965x = 105,455 × 105,455
  4. Step 4: Simplify right side
    68,965x = 11,120,757,025
  5. Step 5: Solve for x
    x = 11,120,757,025/68,965
  6. Step 6: Final answer
    x = 161,252.19

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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.