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Finding the Third Proportional to 409,590 and 641,115

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Solution

The third proportional to 409,590 and 641,115 is: 1,003,511.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    409,590 : 641,115 = 641,115 : x
  2. Step 2: Convert to fraction form
    409,590/641,115 = 641,115/x
  3. Step 3: Cross multiply
    409,590x = 641,115 × 641,115
  4. Step 4: Simplify right side
    409,590x = 411,028,443,225
  5. Step 5: Solve for x
    x = 411,028,443,225/409,590
  6. Step 6: Final answer
    x = 1,003,511.91

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Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.