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Finding the Third Proportional to 137,806 and 297,644

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Solution

The third proportional to 137,806 and 297,644 is: 642,874.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    137,806 : 297,644 = 297,644 : x
  2. Step 2: Convert to fraction form
    137,806/297,644 = 297,644/x
  3. Step 3: Cross multiply
    137,806x = 297,644 × 297,644
  4. Step 4: Simplify right side
    137,806x = 88,591,950,736
  5. Step 5: Solve for x
    x = 88,591,950,736/137,806
  6. Step 6: Final answer
    x = 642,874.41

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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.