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Finding the Third Proportional to 289,320 and 444,975

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Solution

The third proportional to 289,320 and 444,975 is: 684,372.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    289,320 : 444,975 = 444,975 : x
  2. Step 2: Convert to fraction form
    289,320/444,975 = 444,975/x
  3. Step 3: Cross multiply
    289,320x = 444,975 × 444,975
  4. Step 4: Simplify right side
    289,320x = 198,002,750,625
  5. Step 5: Solve for x
    x = 198,002,750,625/289,320
  6. Step 6: Final answer
    x = 684,372.84

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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.