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Finding the Third Proportional to 313,217 and 670,714

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Solution

The third proportional to 313,217 and 670,714 is: 1,436,247.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    313,217 : 670,714 = 670,714 : x
  2. Step 2: Convert to fraction form
    313,217/670,714 = 670,714/x
  3. Step 3: Cross multiply
    313,217x = 670,714 × 670,714
  4. Step 4: Simplify right side
    313,217x = 449,857,269,796
  5. Step 5: Solve for x
    x = 449,857,269,796/313,217
  6. Step 6: Final answer
    x = 1,436,247.94

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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.