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Finding the Third Proportional to 270,939 and 421,917

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Solution

The third proportional to 270,939 and 421,917 is: 657,025.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    270,939 : 421,917 = 421,917 : x
  2. Step 2: Convert to fraction form
    270,939/421,917 = 421,917/x
  3. Step 3: Cross multiply
    270,939x = 421,917 × 421,917
  4. Step 4: Simplify right side
    270,939x = 178,013,954,889
  5. Step 5: Solve for x
    x = 178,013,954,889/270,939
  6. Step 6: Final answer
    x = 657,025.95

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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.