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Finding the Third Proportional to 195,994.69 and 421,346.81

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Solution

The third proportional to 195,994.69 and 421,346.81 is: 905,805.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    195,994.69 : 421,346.81 = 421,346.81 : x
  2. Step 2: Convert to fraction form
    195,994.69/421,346.81 = 421,346.81/x
  3. Step 3: Cross multiply
    195,994.69x = 421,346.81 × 421,346.81
  4. Step 4: Simplify right side
    195,994.69x = 177,533,136,403.91
  5. Step 5: Solve for x
    x = 177,533,136,403.91/195,994.69
  6. Step 6: Final answer
    x = 905,805.86

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.