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Finding the Third Proportional to 137,837 and 298,273

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Solution

The third proportional to 137,837 and 298,273 is: 645,449.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    137,837 : 298,273 = 298,273 : x
  2. Step 2: Convert to fraction form
    137,837/298,273 = 298,273/x
  3. Step 3: Cross multiply
    137,837x = 298,273 × 298,273
  4. Step 4: Simplify right side
    137,837x = 88,966,782,529
  5. Step 5: Solve for x
    x = 88,966,782,529/137,837
  6. Step 6: Final answer
    x = 645,449.21

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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.