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Finding the Third Proportional to 199,820 and 421,944

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Solution

The third proportional to 199,820 and 421,944 is: 890,985.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    199,820 : 421,944 = 421,944 : x
  2. Step 2: Convert to fraction form
    199,820/421,944 = 421,944/x
  3. Step 3: Cross multiply
    199,820x = 421,944 × 421,944
  4. Step 4: Simplify right side
    199,820x = 178,036,739,136
  5. Step 5: Solve for x
    x = 178,036,739,136/199,820
  6. Step 6: Final answer
    x = 890,985.58

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Why These Related Problems?

These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.