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Finding the Third Proportional to 299,972 and 421,888

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Solution

The third proportional to 299,972 and 421,888 is: 593,353.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    299,972 : 421,888 = 421,888 : x
  2. Step 2: Convert to fraction form
    299,972/421,888 = 421,888/x
  3. Step 3: Cross multiply
    299,972x = 421,888 × 421,888
  4. Step 4: Simplify right side
    299,972x = 177,989,484,544
  5. Step 5: Solve for x
    x = 177,989,484,544/299,972
  6. Step 6: Final answer
    x = 593,353.66

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Why These Related Problems?

These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.