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Finding the Third Proportional to 99,298 and 138,901

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Solution

The third proportional to 99,298 and 138,901 is: 194,298.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    99,298 : 138,901 = 138,901 : x
  2. Step 2: Convert to fraction form
    99,298/138,901 = 138,901/x
  3. Step 3: Cross multiply
    99,298x = 138,901 × 138,901
  4. Step 4: Simplify right side
    99,298x = 19,293,487,801
  5. Step 5: Solve for x
    x = 19,293,487,801/99,298
  6. Step 6: Final answer
    x = 194,298.86

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Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.