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Finding the Third Proportional to 270,919 and 421,890

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Solution

The third proportional to 270,919 and 421,890 is: 656,990.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    270,919 : 421,890 = 421,890 : x
  2. Step 2: Convert to fraction form
    270,919/421,890 = 421,890/x
  3. Step 3: Cross multiply
    270,919x = 421,890 × 421,890
  4. Step 4: Simplify right side
    270,919x = 177,991,172,100
  5. Step 5: Solve for x
    x = 177,991,172,100/270,919
  6. Step 6: Final answer
    x = 656,990.36

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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.