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Finding the Third Proportional to 288,723 and 444,357

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Solution

The third proportional to 288,723 and 444,357 is: 683,884.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    288,723 : 444,357 = 444,357 : x
  2. Step 2: Convert to fraction form
    288,723/444,357 = 444,357/x
  3. Step 3: Cross multiply
    288,723x = 444,357 × 444,357
  4. Step 4: Simplify right side
    288,723x = 197,453,143,449
  5. Step 5: Solve for x
    x = 197,453,143,449/288,723
  6. Step 6: Final answer
    x = 683,884.36

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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.