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Finding the Third Proportional to 105,391 and 187,391

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Solution

The third proportional to 105,391 and 187,391 is: 333,191.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    105,391 : 187,391 = 187,391 : x
  2. Step 2: Convert to fraction form
    105,391/187,391 = 187,391/x
  3. Step 3: Cross multiply
    105,391x = 187,391 × 187,391
  4. Step 4: Simplify right side
    105,391x = 35,115,386,881
  5. Step 5: Solve for x
    x = 35,115,386,881/105,391
  6. Step 6: Final answer
    x = 333,191.51

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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.