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Finding the Third Proportional to 275,591 and 413,386

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Solution

The third proportional to 275,591 and 413,386 is: 620,078.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    275,591 : 413,386 = 413,386 : x
  2. Step 2: Convert to fraction form
    275,591/413,386 = 413,386/x
  3. Step 3: Cross multiply
    275,591x = 413,386 × 413,386
  4. Step 4: Simplify right side
    275,591x = 170,887,984,996
  5. Step 5: Solve for x
    x = 170,887,984,996/275,591
  6. Step 6: Final answer
    x = 620,078.25

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.