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Finding the Third Proportional to 297,834 and 649,218

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Solution

The third proportional to 297,834 and 649,218 is: 1,415,164.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    297,834 : 649,218 = 649,218 : x
  2. Step 2: Convert to fraction form
    297,834/649,218 = 649,218/x
  3. Step 3: Cross multiply
    297,834x = 649,218 × 649,218
  4. Step 4: Simplify right side
    297,834x = 421,484,011,524
  5. Step 5: Solve for x
    x = 421,484,011,524/297,834
  6. Step 6: Final answer
    x = 1,415,164.19

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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.