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Finding the Third Proportional to 409,566 and 641,103

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Solution

The third proportional to 409,566 and 641,103 is: 1,003,533.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    409,566 : 641,103 = 641,103 : x
  2. Step 2: Convert to fraction form
    409,566/641,103 = 641,103/x
  3. Step 3: Cross multiply
    409,566x = 641,103 × 641,103
  4. Step 4: Simplify right side
    409,566x = 411,013,056,609
  5. Step 5: Solve for x
    x = 411,013,056,609/409,566
  6. Step 6: Final answer
    x = 1,003,533.15

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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.