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Finding the Third Proportional to 213,102 and 323,540

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Solution

The third proportional to 213,102 and 323,540 is: 491,211.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    213,102 : 323,540 = 323,540 : x
  2. Step 2: Convert to fraction form
    213,102/323,540 = 323,540/x
  3. Step 3: Cross multiply
    213,102x = 323,540 × 323,540
  4. Step 4: Simplify right side
    213,102x = 104,678,131,600
  5. Step 5: Solve for x
    x = 104,678,131,600/213,102
  6. Step 6: Final answer
    x = 491,211.40

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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.