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Finding the Third Proportional to 71,186 and 103,107

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Solution

The third proportional to 71,186 and 103,107 is: 149,341.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,186 : 103,107 = 103,107 : x
  2. Step 2: Convert to fraction form
    71,186/103,107 = 103,107/x
  3. Step 3: Cross multiply
    71,186x = 103,107 × 103,107
  4. Step 4: Simplify right side
    71,186x = 10,631,053,449
  5. Step 5: Solve for x
    x = 10,631,053,449/71,186
  6. Step 6: Final answer
    x = 149,341.91

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Why These Related Problems?

These problems maintain the same ratio (1.45) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.