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Finding the Third Proportional to 355,648 and 550,512

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Solution

The third proportional to 355,648 and 550,512 is: 852,144.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    355,648 : 550,512 = 550,512 : x
  2. Step 2: Convert to fraction form
    355,648/550,512 = 550,512/x
  3. Step 3: Cross multiply
    355,648x = 550,512 × 550,512
  4. Step 4: Simplify right side
    355,648x = 303,063,462,144
  5. Step 5: Solve for x
    x = 303,063,462,144/355,648
  6. Step 6: Final answer
    x = 852,144.43

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.