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Finding the Third Proportional to 321,781.50 and 482,051.25

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Solution

The third proportional to 321,781.50 and 482,051.25 is: 722,146.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    321,781.50 : 482,051.25 = 482,051.25 : x
  2. Step 2: Convert to fraction form
    321,781.50/482,051.25 = 482,051.25/x
  3. Step 3: Cross multiply
    321,781.50x = 482,051.25 × 482,051.25
  4. Step 4: Simplify right side
    321,781.50x = 232,373,407,626.56
  5. Step 5: Solve for x
    x = 232,373,407,626.56/321,781.50
  6. Step 6: Final answer
    x = 722,146.57

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.