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Finding the Third Proportional to 450,108 and 690,193

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Solution

The third proportional to 450,108 and 690,193 is: 1,058,337.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    450,108 : 690,193 = 690,193 : x
  2. Step 2: Convert to fraction form
    450,108/690,193 = 690,193/x
  3. Step 3: Cross multiply
    450,108x = 690,193 × 690,193
  4. Step 4: Simplify right side
    450,108x = 476,366,377,249
  5. Step 5: Solve for x
    x = 476,366,377,249/450,108
  6. Step 6: Final answer
    x = 1,058,337.95

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.