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Finding the Third Proportional to 311,936.06 and 638,649.56

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Solution

The third proportional to 311,936.06 and 638,649.56 is: 1,307,554.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    311,936.06 : 638,649.56 = 638,649.56 : x
  2. Step 2: Convert to fraction form
    311,936.06/638,649.56 = 638,649.56/x
  3. Step 3: Cross multiply
    311,936.06x = 638,649.56 × 638,649.56
  4. Step 4: Simplify right side
    311,936.06x = 407,873,263,681.44
  5. Step 5: Solve for x
    x = 407,873,263,681.44/311,936.06
  6. Step 6: Final answer
    x = 1,307,554.06

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Why These Related Problems?

These problems maintain the same ratio (2.05) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.