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Finding the Third Proportional to 191,806 and 421,682

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Solution

The third proportional to 191,806 and 421,682 is: 927,060.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    191,806 : 421,682 = 421,682 : x
  2. Step 2: Convert to fraction form
    191,806/421,682 = 421,682/x
  3. Step 3: Cross multiply
    191,806x = 421,682 × 421,682
  4. Step 4: Simplify right side
    191,806x = 177,815,709,124
  5. Step 5: Solve for x
    x = 177,815,709,124/191,806
  6. Step 6: Final answer
    x = 927,060.20

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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.