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Finding the Third Proportional to 138,067 and 297,880

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Solution

The third proportional to 138,067 and 297,880 is: 642,677.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    138,067 : 297,880 = 297,880 : x
  2. Step 2: Convert to fraction form
    138,067/297,880 = 297,880/x
  3. Step 3: Cross multiply
    138,067x = 297,880 × 297,880
  4. Step 4: Simplify right side
    138,067x = 88,732,494,400
  5. Step 5: Solve for x
    x = 88,732,494,400/138,067
  6. Step 6: Final answer
    x = 642,677.07

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.