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Finding the Third Proportional to 490,320 and 741,972

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Solution

The third proportional to 490,320 and 741,972 is: 1,122,781.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    490,320 : 741,972 = 741,972 : x
  2. Step 2: Convert to fraction form
    490,320/741,972 = 741,972/x
  3. Step 3: Cross multiply
    490,320x = 741,972 × 741,972
  4. Step 4: Simplify right side
    490,320x = 550,522,448,784
  5. Step 5: Solve for x
    x = 550,522,448,784/490,320
  6. Step 6: Final answer
    x = 1,122,781.96

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.