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Finding the Third Proportional to 404,170.50 and 561,961.50

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Solution

The third proportional to 404,170.50 and 561,961.50 is: 781,355.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    404,170.50 : 561,961.50 = 561,961.50 : x
  2. Step 2: Convert to fraction form
    404,170.50/561,961.50 = 561,961.50/x
  3. Step 3: Cross multiply
    404,170.50x = 561,961.50 × 561,961.50
  4. Step 4: Simplify right side
    404,170.50x = 315,800,727,482.25
  5. Step 5: Solve for x
    x = 315,800,727,482.25/404,170.50
  6. Step 6: Final answer
    x = 781,355.21

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Why These Related Problems?

These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.