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Finding the Third Proportional to 191,824 and 421,716

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Solution

The third proportional to 191,824 and 421,716 is: 927,122.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    191,824 : 421,716 = 421,716 : x
  2. Step 2: Convert to fraction form
    191,824/421,716 = 421,716/x
  3. Step 3: Cross multiply
    191,824x = 421,716 × 421,716
  4. Step 4: Simplify right side
    191,824x = 177,844,384,656
  5. Step 5: Solve for x
    x = 177,844,384,656/191,824
  6. Step 6: Final answer
    x = 927,122.70

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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.