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Finding the Third Proportional to 380,370 and 531,741

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Solution

The third proportional to 380,370 and 531,741 is: 743,351.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    380,370 : 531,741 = 531,741 : x
  2. Step 2: Convert to fraction form
    380,370/531,741 = 531,741/x
  3. Step 3: Cross multiply
    380,370x = 531,741 × 531,741
  4. Step 4: Simplify right side
    380,370x = 282,748,491,081
  5. Step 5: Solve for x
    x = 282,748,491,081/380,370
  6. Step 6: Final answer
    x = 743,351.19

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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.