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Finding the Third Proportional to 409,570 and 641,109

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Solution

The third proportional to 409,570 and 641,109 is: 1,003,542.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    409,570 : 641,109 = 641,109 : x
  2. Step 2: Convert to fraction form
    409,570/641,109 = 641,109/x
  3. Step 3: Cross multiply
    409,570x = 641,109 × 641,109
  4. Step 4: Simplify right side
    409,570x = 411,020,749,881
  5. Step 5: Solve for x
    x = 411,020,749,881/409,570
  6. Step 6: Final answer
    x = 1,003,542.13

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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.