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Finding the Third Proportional to 313,075 and 670,422

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Solution

The third proportional to 313,075 and 670,422 is: 1,435,648.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    313,075 : 670,422 = 670,422 : x
  2. Step 2: Convert to fraction form
    313,075/670,422 = 670,422/x
  3. Step 3: Cross multiply
    313,075x = 670,422 × 670,422
  4. Step 4: Simplify right side
    313,075x = 449,465,658,084
  5. Step 5: Solve for x
    x = 449,465,658,084/313,075
  6. Step 6: Final answer
    x = 1,435,648.51

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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.