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Finding the Third Proportional to 286,942.50 and 628,428.38

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Solution

The third proportional to 286,942.50 and 628,428.38 is: 1,376,311.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    286,942.50 : 628,428.38 = 628,428.38 : x
  2. Step 2: Convert to fraction form
    286,942.50/628,428.38 = 628,428.38/x
  3. Step 3: Cross multiply
    286,942.50x = 628,428.38 × 628,428.38
  4. Step 4: Simplify right side
    286,942.50x = 394,922,222,505.14
  5. Step 5: Solve for x
    x = 394,922,222,505.14/286,942.50
  6. Step 6: Final answer
    x = 1,376,311.36

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.