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Finding the Third Proportional to 313,082 and 670,436

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Solution

The third proportional to 313,082 and 670,436 is: 1,435,676.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    313,082 : 670,436 = 670,436 : x
  2. Step 2: Convert to fraction form
    313,082/670,436 = 670,436/x
  3. Step 3: Cross multiply
    313,082x = 670,436 × 670,436
  4. Step 4: Simplify right side
    313,082x = 449,484,430,096
  5. Step 5: Solve for x
    x = 449,484,430,096/313,082
  6. Step 6: Final answer
    x = 1,435,676.37

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.