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Finding the Third Proportional to 389,470 and 809,898

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Solution

The third proportional to 389,470 and 809,898 is: 1,684,172.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    389,470 : 809,898 = 809,898 : x
  2. Step 2: Convert to fraction form
    389,470/809,898 = 809,898/x
  3. Step 3: Cross multiply
    389,470x = 809,898 × 809,898
  4. Step 4: Simplify right side
    389,470x = 655,934,770,404
  5. Step 5: Solve for x
    x = 655,934,770,404/389,470
  6. Step 6: Final answer
    x = 1,684,172.77

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.