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Finding the Third Proportional to 273,609 and 437,087

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Solution

The third proportional to 273,609 and 437,087 is: 698,241.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    273,609 : 437,087 = 437,087 : x
  2. Step 2: Convert to fraction form
    273,609/437,087 = 437,087/x
  3. Step 3: Cross multiply
    273,609x = 437,087 × 437,087
  4. Step 4: Simplify right side
    273,609x = 191,045,045,569
  5. Step 5: Solve for x
    x = 191,045,045,569/273,609
  6. Step 6: Final answer
    x = 698,241.09

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Why These Related Problems?

These problems maintain the same ratio (1.60) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.