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Finding the Third Proportional to 274,136 and 421,902

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Solution

The third proportional to 274,136 and 421,902 is: 649,317.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    274,136 : 421,902 = 421,902 : x
  2. Step 2: Convert to fraction form
    274,136/421,902 = 421,902/x
  3. Step 3: Cross multiply
    274,136x = 421,902 × 421,902
  4. Step 4: Simplify right side
    274,136x = 178,001,297,604
  5. Step 5: Solve for x
    x = 178,001,297,604/274,136
  6. Step 6: Final answer
    x = 649,317.48

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.