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Finding the Third Proportional to 270,923 and 421,897

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Solution

The third proportional to 270,923 and 421,897 is: 657,002.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    270,923 : 421,897 = 421,897 : x
  2. Step 2: Convert to fraction form
    270,923/421,897 = 421,897/x
  3. Step 3: Cross multiply
    270,923x = 421,897 × 421,897
  4. Step 4: Simplify right side
    270,923x = 177,997,078,609
  5. Step 5: Solve for x
    x = 177,997,078,609/270,923
  6. Step 6: Final answer
    x = 657,002.46

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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.