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Finding the Third Proportional to 361,090 and 504,811

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Solution

The third proportional to 361,090 and 504,811 is: 705,735.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    361,090 : 504,811 = 504,811 : x
  2. Step 2: Convert to fraction form
    361,090/504,811 = 504,811/x
  3. Step 3: Cross multiply
    361,090x = 504,811 × 504,811
  4. Step 4: Simplify right side
    361,090x = 254,834,145,721
  5. Step 5: Solve for x
    x = 254,834,145,721/361,090
  6. Step 6: Final answer
    x = 705,735.82

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Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.