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Finding the Third Proportional to 213,099 and 323,536

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Solution

The third proportional to 213,099 and 323,536 is: 491,206.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    213,099 : 323,536 = 323,536 : x
  2. Step 2: Convert to fraction form
    213,099/323,536 = 323,536/x
  3. Step 3: Cross multiply
    213,099x = 323,536 × 323,536
  4. Step 4: Simplify right side
    213,099x = 104,675,543,296
  5. Step 5: Solve for x
    x = 104,675,543,296/213,099
  6. Step 6: Final answer
    x = 491,206.17

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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.