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Finding the Third Proportional to 213,188 and 355,296

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Solution

The third proportional to 213,188 and 355,296 is: 592,131.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    213,188 : 355,296 = 355,296 : x
  2. Step 2: Convert to fraction form
    213,188/355,296 = 355,296/x
  3. Step 3: Cross multiply
    213,188x = 355,296 × 355,296
  4. Step 4: Simplify right side
    213,188x = 126,235,247,616
  5. Step 5: Solve for x
    x = 126,235,247,616/213,188
  6. Step 6: Final answer
    x = 592,131.11

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Why These Related Problems?

These problems maintain the same ratio (1.67) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.