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Finding the Third Proportional to 105,385 and 187,379

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Solution

The third proportional to 105,385 and 187,379 is: 333,167.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    105,385 : 187,379 = 187,379 : x
  2. Step 2: Convert to fraction form
    105,385/187,379 = 187,379/x
  3. Step 3: Cross multiply
    105,385x = 187,379 × 187,379
  4. Step 4: Simplify right side
    105,385x = 35,110,889,641
  5. Step 5: Solve for x
    x = 35,110,889,641/105,385
  6. Step 6: Final answer
    x = 333,167.81

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Why These Related Problems?

These problems maintain the same ratio (1.78) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.