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Finding the Third Proportional to 199,582 and 421,642

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Solution

The third proportional to 199,582 and 421,642 is: 890,771.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    199,582 : 421,642 = 421,642 : x
  2. Step 2: Convert to fraction form
    199,582/421,642 = 421,642/x
  3. Step 3: Cross multiply
    199,582x = 421,642 × 421,642
  4. Step 4: Simplify right side
    199,582x = 177,781,976,164
  5. Step 5: Solve for x
    x = 177,781,976,164/199,582
  6. Step 6: Final answer
    x = 890,771.59

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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.