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Finding the Third Proportional to 138,786 and 297,249

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Solution

The third proportional to 138,786 and 297,249 is: 636,641.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    138,786 : 297,249 = 297,249 : x
  2. Step 2: Convert to fraction form
    138,786/297,249 = 297,249/x
  3. Step 3: Cross multiply
    138,786x = 297,249 × 297,249
  4. Step 4: Simplify right side
    138,786x = 88,356,968,001
  5. Step 5: Solve for x
    x = 88,356,968,001/138,786
  6. Step 6: Final answer
    x = 636,641.79

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.