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Finding the Third Proportional to 299,983 and 421,905

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Solution

The third proportional to 299,983 and 421,905 is: 593,379.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    299,983 : 421,905 = 421,905 : x
  2. Step 2: Convert to fraction form
    299,983/421,905 = 421,905/x
  3. Step 3: Cross multiply
    299,983x = 421,905 × 421,905
  4. Step 4: Simplify right side
    299,983x = 178,003,829,025
  5. Step 5: Solve for x
    x = 178,003,829,025/299,983
  6. Step 6: Final answer
    x = 593,379.72

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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.