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Finding the Third Proportional to 380,238 and 531,629

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Solution

The third proportional to 380,238 and 531,629 is: 743,296.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    380,238 : 531,629 = 531,629 : x
  2. Step 2: Convert to fraction form
    380,238/531,629 = 531,629/x
  3. Step 3: Cross multiply
    380,238x = 531,629 × 531,629
  4. Step 4: Simplify right side
    380,238x = 282,629,393,641
  5. Step 5: Solve for x
    x = 282,629,393,641/380,238
  6. Step 6: Final answer
    x = 743,296.02

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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.