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Finding the Third Proportional to 289,320 and 444,976

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Solution

The third proportional to 289,320 and 444,976 is: 684,375.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    289,320 : 444,976 = 444,976 : x
  2. Step 2: Convert to fraction form
    289,320/444,976 = 444,976/x
  3. Step 3: Cross multiply
    289,320x = 444,976 × 444,976
  4. Step 4: Simplify right side
    289,320x = 198,003,640,576
  5. Step 5: Solve for x
    x = 198,003,640,576/289,320
  6. Step 6: Final answer
    x = 684,375.92

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.