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Finding the Third Proportional to 321,136.50 and 451,831.50

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Solution

The third proportional to 321,136.50 and 451,831.50 is: 635,716.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    321,136.50 : 451,831.50 = 451,831.50 : x
  2. Step 2: Convert to fraction form
    321,136.50/451,831.50 = 451,831.50/x
  3. Step 3: Cross multiply
    321,136.50x = 451,831.50 × 451,831.50
  4. Step 4: Simplify right side
    321,136.50x = 204,151,704,392.25
  5. Step 5: Solve for x
    x = 204,151,704,392.25/321,136.50
  6. Step 6: Final answer
    x = 635,716.29

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Why These Related Problems?

These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.