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Finding the Third Proportional to 297,108 and 641,559

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Solution

The third proportional to 297,108 and 641,559 is: 1,385,347.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    297,108 : 641,559 = 641,559 : x
  2. Step 2: Convert to fraction form
    297,108/641,559 = 641,559/x
  3. Step 3: Cross multiply
    297,108x = 641,559 × 641,559
  4. Step 4: Simplify right side
    297,108x = 411,597,950,481
  5. Step 5: Solve for x
    x = 411,597,950,481/297,108
  6. Step 6: Final answer
    x = 1,385,347.92

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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.