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Finding the Third Proportional to 194,313 and 421,833

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Solution

The third proportional to 194,313 and 421,833 is: 915,754.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    194,313 : 421,833 = 421,833 : x
  2. Step 2: Convert to fraction form
    194,313/421,833 = 421,833/x
  3. Step 3: Cross multiply
    194,313x = 421,833 × 421,833
  4. Step 4: Simplify right side
    194,313x = 177,943,079,889
  5. Step 5: Solve for x
    x = 177,943,079,889/194,313
  6. Step 6: Final answer
    x = 915,754.89

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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.