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Finding the Third Proportional to 313,870 and 670,832

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Solution

The third proportional to 313,870 and 670,832 is: 1,433,764.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    313,870 : 670,832 = 670,832 : x
  2. Step 2: Convert to fraction form
    313,870/670,832 = 670,832/x
  3. Step 3: Cross multiply
    313,870x = 670,832 × 670,832
  4. Step 4: Simplify right side
    313,870x = 450,015,572,224
  5. Step 5: Solve for x
    x = 450,015,572,224/313,870
  6. Step 6: Final answer
    x = 1,433,764.21

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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.