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Finding the Third Proportional to 194,324 and 421,843

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Solution

The third proportional to 194,324 and 421,843 is: 915,746.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    194,324 : 421,843 = 421,843 : x
  2. Step 2: Convert to fraction form
    194,324/421,843 = 421,843/x
  3. Step 3: Cross multiply
    194,324x = 421,843 × 421,843
  4. Step 4: Simplify right side
    194,324x = 177,951,516,649
  5. Step 5: Solve for x
    x = 177,951,516,649/194,324
  6. Step 6: Final answer
    x = 915,746.47

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.