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Finding the Third Proportional to 83,338 and 127,057

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Solution

The third proportional to 83,338 and 127,057 is: 193,710.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,338 : 127,057 = 127,057 : x
  2. Step 2: Convert to fraction form
    83,338/127,057 = 127,057/x
  3. Step 3: Cross multiply
    83,338x = 127,057 × 127,057
  4. Step 4: Simplify right side
    83,338x = 16,143,481,249
  5. Step 5: Solve for x
    x = 16,143,481,249/83,338
  6. Step 6: Final answer
    x = 193,710.93

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.