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Finding the Third Proportional to 290,790 and 640,116

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Solution

The third proportional to 290,790 and 640,116 is: 1,409,087.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    290,790 : 640,116 = 640,116 : x
  2. Step 2: Convert to fraction form
    290,790/640,116 = 640,116/x
  3. Step 3: Cross multiply
    290,790x = 640,116 × 640,116
  4. Step 4: Simplify right side
    290,790x = 409,748,493,456
  5. Step 5: Solve for x
    x = 409,748,493,456/290,790
  6. Step 6: Final answer
    x = 1,409,087.29

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.