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Finding the Third Proportional to 298,028.25 and 638,669.25

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Solution

The third proportional to 298,028.25 and 638,669.25 is: 1,368,656.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    298,028.25 : 638,669.25 = 638,669.25 : x
  2. Step 2: Convert to fraction form
    298,028.25/638,669.25 = 638,669.25/x
  3. Step 3: Cross multiply
    298,028.25x = 638,669.25 × 638,669.25
  4. Step 4: Simplify right side
    298,028.25x = 407,898,410,895.56
  5. Step 5: Solve for x
    x = 407,898,410,895.56/298,028.25
  6. Step 6: Final answer
    x = 1,368,656.87

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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.