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Finding the Third Proportional to 137,306 and 297,449

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Solution

The third proportional to 137,306 and 297,449 is: 644,370.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    137,306 : 297,449 = 297,449 : x
  2. Step 2: Convert to fraction form
    137,306/297,449 = 297,449/x
  3. Step 3: Cross multiply
    137,306x = 297,449 × 297,449
  4. Step 4: Simplify right side
    137,306x = 88,475,907,601
  5. Step 5: Solve for x
    x = 88,475,907,601/137,306
  6. Step 6: Final answer
    x = 644,370.29

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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.