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Finding the Third Proportional to 213,054 and 323,469

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Solution

The third proportional to 213,054 and 323,469 is: 491,106.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    213,054 : 323,469 = 323,469 : x
  2. Step 2: Convert to fraction form
    213,054/323,469 = 323,469/x
  3. Step 3: Cross multiply
    213,054x = 323,469 × 323,469
  4. Step 4: Simplify right side
    213,054x = 104,632,193,961
  5. Step 5: Solve for x
    x = 104,632,193,961/213,054
  6. Step 6: Final answer
    x = 491,106.45

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.