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Finding the Third Proportional to 275,323 and 387,721

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Solution

The third proportional to 275,323 and 387,721 is: 546,004.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    275,323 : 387,721 = 387,721 : x
  2. Step 2: Convert to fraction form
    275,323/387,721 = 387,721/x
  3. Step 3: Cross multiply
    275,323x = 387,721 × 387,721
  4. Step 4: Simplify right side
    275,323x = 150,327,573,841
  5. Step 5: Solve for x
    x = 150,327,573,841/275,323
  6. Step 6: Final answer
    x = 546,004.42

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Why These Related Problems?

These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.