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Finding the Third Proportional to 228,724 and 355,542

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Solution

The third proportional to 228,724 and 355,542 is: 552,675.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    228,724 : 355,542 = 355,542 : x
  2. Step 2: Convert to fraction form
    228,724/355,542 = 355,542/x
  3. Step 3: Cross multiply
    228,724x = 355,542 × 355,542
  4. Step 4: Simplify right side
    228,724x = 126,410,113,764
  5. Step 5: Solve for x
    x = 126,410,113,764/228,724
  6. Step 6: Final answer
    x = 552,675.34

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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.