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Finding the Third Proportional to 419,764.50 and 665,750.25

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Solution

The third proportional to 419,764.50 and 665,750.25 is: 1,055,885.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    419,764.50 : 665,750.25 = 665,750.25 : x
  2. Step 2: Convert to fraction form
    419,764.50/665,750.25 = 665,750.25/x
  3. Step 3: Cross multiply
    419,764.50x = 665,750.25 × 665,750.25
  4. Step 4: Simplify right side
    419,764.50x = 443,223,395,375.06
  5. Step 5: Solve for x
    x = 443,223,395,375.06/419,764.50
  6. Step 6: Final answer
    x = 1,055,885.85

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.