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Finding the Third Proportional to 291,877 and 641,218

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Solution

The third proportional to 291,877 and 641,218 is: 1,408,677.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    291,877 : 641,218 = 641,218 : x
  2. Step 2: Convert to fraction form
    291,877/641,218 = 641,218/x
  3. Step 3: Cross multiply
    291,877x = 641,218 × 641,218
  4. Step 4: Simplify right side
    291,877x = 411,160,523,524
  5. Step 5: Solve for x
    x = 411,160,523,524/291,877
  6. Step 6: Final answer
    x = 1,408,677.37

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.