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Finding the Third Proportional to 275,786 and 413,679

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Solution

The third proportional to 275,786 and 413,679 is: 620,518.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    275,786 : 413,679 = 413,679 : x
  2. Step 2: Convert to fraction form
    275,786/413,679 = 413,679/x
  3. Step 3: Cross multiply
    275,786x = 413,679 × 413,679
  4. Step 4: Simplify right side
    275,786x = 171,130,315,041
  5. Step 5: Solve for x
    x = 171,130,315,041/275,786
  6. Step 6: Final answer
    x = 620,518.50

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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.