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Finding the Third Proportional to 310,479 and 670,782

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Solution

The third proportional to 310,479 and 670,782 is: 1,449,207.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    310,479 : 670,782 = 670,782 : x
  2. Step 2: Convert to fraction form
    310,479/670,782 = 670,782/x
  3. Step 3: Cross multiply
    310,479x = 670,782 × 670,782
  4. Step 4: Simplify right side
    310,479x = 449,948,491,524
  5. Step 5: Solve for x
    x = 449,948,491,524/310,479
  6. Step 6: Final answer
    x = 1,449,207.49

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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.