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Finding the Third Proportional to 209,858 and 327,339

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Solution

The third proportional to 209,858 and 327,339 is: 510,587.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    209,858 : 327,339 = 327,339 : x
  2. Step 2: Convert to fraction form
    209,858/327,339 = 327,339/x
  3. Step 3: Cross multiply
    209,858x = 327,339 × 327,339
  4. Step 4: Simplify right side
    209,858x = 107,150,820,921
  5. Step 5: Solve for x
    x = 107,150,820,921/209,858
  6. Step 6: Final answer
    x = 510,587.26

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.