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Finding the Third Proportional to 311,026 and 440,018

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Solution

The third proportional to 311,026 and 440,018 is: 622,506.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    311,026 : 440,018 = 440,018 : x
  2. Step 2: Convert to fraction form
    311,026/440,018 = 440,018/x
  3. Step 3: Cross multiply
    311,026x = 440,018 × 440,018
  4. Step 4: Simplify right side
    311,026x = 193,615,840,324
  5. Step 5: Solve for x
    x = 193,615,840,324/311,026
  6. Step 6: Final answer
    x = 622,506.93

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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.