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Finding the Third Proportional to 275,614 and 413,421

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Solution

The third proportional to 275,614 and 413,421 is: 620,131.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    275,614 : 413,421 = 413,421 : x
  2. Step 2: Convert to fraction form
    275,614/413,421 = 413,421/x
  3. Step 3: Cross multiply
    275,614x = 413,421 × 413,421
  4. Step 4: Simplify right side
    275,614x = 170,916,923,241
  5. Step 5: Solve for x
    x = 170,916,923,241/275,614
  6. Step 6: Final answer
    x = 620,131.50

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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.