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Finding the Third Proportional to 300,018 and 421,955

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Solution

The third proportional to 300,018 and 421,955 is: 593,451.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    300,018 : 421,955 = 421,955 : x
  2. Step 2: Convert to fraction form
    300,018/421,955 = 421,955/x
  3. Step 3: Cross multiply
    300,018x = 421,955 × 421,955
  4. Step 4: Simplify right side
    300,018x = 178,046,022,025
  5. Step 5: Solve for x
    x = 178,046,022,025/300,018
  6. Step 6: Final answer
    x = 593,451.13

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Why These Related Problems?

These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.