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Finding the Third Proportional to 437,649.75 and 665,469

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Solution

The third proportional to 437,649.75 and 665,469 is: 1,011,879.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    437,649.75 : 665,469 = 665,469 : x
  2. Step 2: Convert to fraction form
    437,649.75/665,469 = 665,469/x
  3. Step 3: Cross multiply
    437,649.75x = 665,469 × 665,469
  4. Step 4: Simplify right side
    437,649.75x = 442,848,989,961
  5. Step 5: Solve for x
    x = 442,848,989,961/437,649.75
  6. Step 6: Final answer
    x = 1,011,879.91

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.