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Finding the Third Proportional to 285,224 and 438,449

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Solution

The third proportional to 285,224 and 438,449 is: 673,987.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    285,224 : 438,449 = 438,449 : x
  2. Step 2: Convert to fraction form
    285,224/438,449 = 438,449/x
  3. Step 3: Cross multiply
    285,224x = 438,449 × 438,449
  4. Step 4: Simplify right side
    285,224x = 192,237,525,601
  5. Step 5: Solve for x
    x = 192,237,525,601/285,224
  6. Step 6: Final answer
    x = 673,987.90

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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.