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Finding the Third Proportional to 311,243 and 679,024

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Solution

The third proportional to 311,243 and 679,024 is: 1,481,394.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    311,243 : 679,024 = 679,024 : x
  2. Step 2: Convert to fraction form
    311,243/679,024 = 679,024/x
  3. Step 3: Cross multiply
    311,243x = 679,024 × 679,024
  4. Step 4: Simplify right side
    311,243x = 461,073,592,576
  5. Step 5: Solve for x
    x = 461,073,592,576/311,243
  6. Step 6: Final answer
    x = 1,481,394.26

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.