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Finding the Third Proportional to 361,108 and 782,480

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Solution

The third proportional to 361,108 and 782,480 is: 1,695,545.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    361,108 : 782,480 = 782,480 : x
  2. Step 2: Convert to fraction form
    361,108/782,480 = 782,480/x
  3. Step 3: Cross multiply
    361,108x = 782,480 × 782,480
  4. Step 4: Simplify right side
    361,108x = 612,274,950,400
  5. Step 5: Solve for x
    x = 612,274,950,400/361,108
  6. Step 6: Final answer
    x = 1,695,545.24

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.