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Finding the Third Proportional to 297,844.50 and 649,239

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Solution

The third proportional to 297,844.50 and 649,239 is: 1,415,205.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    297,844.50 : 649,239 = 649,239 : x
  2. Step 2: Convert to fraction form
    297,844.50/649,239 = 649,239/x
  3. Step 3: Cross multiply
    297,844.50x = 649,239 × 649,239
  4. Step 4: Simplify right side
    297,844.50x = 421,511,279,121
  5. Step 5: Solve for x
    x = 421,511,279,121/297,844.50
  6. Step 6: Final answer
    x = 1,415,205.85

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.