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Finding the Third Proportional to 270,926 and 421,899

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Solution

The third proportional to 270,926 and 421,899 is: 657,001.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    270,926 : 421,899 = 421,899 : x
  2. Step 2: Convert to fraction form
    270,926/421,899 = 421,899/x
  3. Step 3: Cross multiply
    270,926x = 421,899 × 421,899
  4. Step 4: Simplify right side
    270,926x = 177,998,766,201
  5. Step 5: Solve for x
    x = 177,998,766,201/270,926
  6. Step 6: Final answer
    x = 657,001.42

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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.