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Finding the Third Proportional to 313,085 and 670,443

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Solution

The third proportional to 313,085 and 670,443 is: 1,435,692.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    313,085 : 670,443 = 670,443 : x
  2. Step 2: Convert to fraction form
    313,085/670,443 = 670,443/x
  3. Step 3: Cross multiply
    313,085x = 670,443 × 670,443
  4. Step 4: Simplify right side
    313,085x = 449,493,816,249
  5. Step 5: Solve for x
    x = 449,493,816,249/313,085
  6. Step 6: Final answer
    x = 1,435,692.60

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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.