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Finding the Third Proportional to 361,000 and 561,245

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Solution

The third proportional to 361,000 and 561,245 is: 872,564.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    361,000 : 561,245 = 561,245 : x
  2. Step 2: Convert to fraction form
    361,000/561,245 = 561,245/x
  3. Step 3: Cross multiply
    361,000x = 561,245 × 561,245
  4. Step 4: Simplify right side
    361,000x = 314,995,950,025
  5. Step 5: Solve for x
    x = 314,995,950,025/361,000
  6. Step 6: Final answer
    x = 872,564.96

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.