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Finding the Third Proportional to 218,392 and 339,251

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Solution

The third proportional to 218,392 and 339,251 is: 526,993.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    218,392 : 339,251 = 339,251 : x
  2. Step 2: Convert to fraction form
    218,392/339,251 = 339,251/x
  3. Step 3: Cross multiply
    218,392x = 339,251 × 339,251
  4. Step 4: Simplify right side
    218,392x = 115,091,241,001
  5. Step 5: Solve for x
    x = 115,091,241,001/218,392
  6. Step 6: Final answer
    x = 526,993.85

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.