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Finding the Third Proportional to 211,459 and 323,886

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Solution

The third proportional to 211,459 and 323,886 is: 496,087.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    211,459 : 323,886 = 323,886 : x
  2. Step 2: Convert to fraction form
    211,459/323,886 = 323,886/x
  3. Step 3: Cross multiply
    211,459x = 323,886 × 323,886
  4. Step 4: Simplify right side
    211,459x = 104,902,140,996
  5. Step 5: Solve for x
    x = 104,902,140,996/211,459
  6. Step 6: Final answer
    x = 496,087.38

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.