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Finding the Third Proportional to 409,765.50 and 620,361

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Solution

The third proportional to 409,765.50 and 620,361 is: 939,190.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    409,765.50 : 620,361 = 620,361 : x
  2. Step 2: Convert to fraction form
    409,765.50/620,361 = 620,361/x
  3. Step 3: Cross multiply
    409,765.50x = 620,361 × 620,361
  4. Step 4: Simplify right side
    409,765.50x = 384,847,770,321
  5. Step 5: Solve for x
    x = 384,847,770,321/409,765.50
  6. Step 6: Final answer
    x = 939,190.27

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.