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Finding the Third Proportional to 275,161 and 411,475

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Solution

The third proportional to 275,161 and 411,475 is: 615,318.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    275,161 : 411,475 = 411,475 : x
  2. Step 2: Convert to fraction form
    275,161/411,475 = 411,475/x
  3. Step 3: Cross multiply
    275,161x = 411,475 × 411,475
  4. Step 4: Simplify right side
    275,161x = 169,311,675,625
  5. Step 5: Solve for x
    x = 169,311,675,625/275,161
  6. Step 6: Final answer
    x = 615,318.58

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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.