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Finding the Third Proportional to 380,169.50 and 531,502

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Solution

The third proportional to 380,169.50 and 531,502 is: 743,074.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    380,169.50 : 531,502 = 531,502 : x
  2. Step 2: Convert to fraction form
    380,169.50/531,502 = 531,502/x
  3. Step 3: Cross multiply
    380,169.50x = 531,502 × 531,502
  4. Step 4: Simplify right side
    380,169.50x = 282,494,376,004
  5. Step 5: Solve for x
    x = 282,494,376,004/380,169.50
  6. Step 6: Final answer
    x = 743,074.80

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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.