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Finding the Third Proportional to 137,305 and 297,446

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Solution

The third proportional to 137,305 and 297,446 is: 644,361.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    137,305 : 297,446 = 297,446 : x
  2. Step 2: Convert to fraction form
    137,305/297,446 = 297,446/x
  3. Step 3: Cross multiply
    137,305x = 297,446 × 297,446
  4. Step 4: Simplify right side
    137,305x = 88,474,122,916
  5. Step 5: Solve for x
    x = 88,474,122,916/137,305
  6. Step 6: Final answer
    x = 644,361.99

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.