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Finding the Third Proportional to 380,211.75 and 531,560.25

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Solution

The third proportional to 380,211.75 and 531,560.25 is: 743,155.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    380,211.75 : 531,560.25 = 531,560.25 : x
  2. Step 2: Convert to fraction form
    380,211.75/531,560.25 = 531,560.25/x
  3. Step 3: Cross multiply
    380,211.75x = 531,560.25 × 531,560.25
  4. Step 4: Simplify right side
    380,211.75x = 282,556,299,380.06
  5. Step 5: Solve for x
    x = 282,556,299,380.06/380,211.75
  6. Step 6: Final answer
    x = 743,155.10

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Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.