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Finding the Third Proportional to 228,608 and 355,368

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Solution

The third proportional to 228,608 and 355,368 is: 552,414.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    228,608 : 355,368 = 355,368 : x
  2. Step 2: Convert to fraction form
    228,608/355,368 = 355,368/x
  3. Step 3: Cross multiply
    228,608x = 355,368 × 355,368
  4. Step 4: Simplify right side
    228,608x = 126,286,415,424
  5. Step 5: Solve for x
    x = 126,286,415,424/228,608
  6. Step 6: Final answer
    x = 552,414.68

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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.