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Finding the Third Proportional to 194,979.50 and 421,943

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Solution

The third proportional to 194,979.50 and 421,943 is: 913,100.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    194,979.50 : 421,943 = 421,943 : x
  2. Step 2: Convert to fraction form
    194,979.50/421,943 = 421,943/x
  3. Step 3: Cross multiply
    194,979.50x = 421,943 × 421,943
  4. Step 4: Simplify right side
    194,979.50x = 178,035,895,249
  5. Step 5: Solve for x
    x = 178,035,895,249/194,979.50
  6. Step 6: Final answer
    x = 913,100.58

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.