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Finding the Third Proportional to 380,214 and 531,567

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Solution

The third proportional to 380,214 and 531,567 is: 743,169.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    380,214 : 531,567 = 531,567 : x
  2. Step 2: Convert to fraction form
    380,214/531,567 = 531,567/x
  3. Step 3: Cross multiply
    380,214x = 531,567 × 531,567
  4. Step 4: Simplify right side
    380,214x = 282,563,475,489
  5. Step 5: Solve for x
    x = 282,563,475,489/380,214
  6. Step 6: Final answer
    x = 743,169.57

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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.