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Finding the Third Proportional to 311,492 and 670,372

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Solution

The third proportional to 311,492 and 670,372 is: 1,442,729.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    311,492 : 670,372 = 670,372 : x
  2. Step 2: Convert to fraction form
    311,492/670,372 = 670,372/x
  3. Step 3: Cross multiply
    311,492x = 670,372 × 670,372
  4. Step 4: Simplify right side
    311,492x = 449,398,618,384
  5. Step 5: Solve for x
    x = 449,398,618,384/311,492
  6. Step 6: Final answer
    x = 1,442,729.25

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.