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Finding the Third Proportional to 380,238 and 531,628

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Solution

The third proportional to 380,238 and 531,628 is: 743,293.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    380,238 : 531,628 = 531,628 : x
  2. Step 2: Convert to fraction form
    380,238/531,628 = 531,628/x
  3. Step 3: Cross multiply
    380,238x = 531,628 × 531,628
  4. Step 4: Simplify right side
    380,238x = 282,628,330,384
  5. Step 5: Solve for x
    x = 282,628,330,384/380,238
  6. Step 6: Final answer
    x = 743,293.23

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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.