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Finding the Third Proportional to 290,945 and 451,551

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Solution

The third proportional to 290,945 and 451,551 is: 700,813.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    290,945 : 451,551 = 451,551 : x
  2. Step 2: Convert to fraction form
    290,945/451,551 = 451,551/x
  3. Step 3: Cross multiply
    290,945x = 451,551 × 451,551
  4. Step 4: Simplify right side
    290,945x = 203,898,305,601
  5. Step 5: Solve for x
    x = 203,898,305,601/290,945
  6. Step 6: Final answer
    x = 700,813.92

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.