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Finding the Third Proportional to 191,352 and 421,344

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Solution

The third proportional to 191,352 and 421,344 is: 927,770.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    191,352 : 421,344 = 421,344 : x
  2. Step 2: Convert to fraction form
    191,352/421,344 = 421,344/x
  3. Step 3: Cross multiply
    191,352x = 421,344 × 421,344
  4. Step 4: Simplify right side
    191,352x = 177,530,766,336
  5. Step 5: Solve for x
    x = 177,530,766,336/191,352
  6. Step 6: Final answer
    x = 927,770.63

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.