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Finding the Third Proportional to 313,928 and 678,398

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Solution

The third proportional to 313,928 and 678,398 is: 1,466,017.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    313,928 : 678,398 = 678,398 : x
  2. Step 2: Convert to fraction form
    313,928/678,398 = 678,398/x
  3. Step 3: Cross multiply
    313,928x = 678,398 × 678,398
  4. Step 4: Simplify right side
    313,928x = 460,223,846,404
  5. Step 5: Solve for x
    x = 460,223,846,404/313,928
  6. Step 6: Final answer
    x = 1,466,017.20

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.