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Finding the Third Proportional to 312,968.25 and 675,724.50

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Solution

The third proportional to 312,968.25 and 675,724.50 is: 1,458,945.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    312,968.25 : 675,724.50 = 675,724.50 : x
  2. Step 2: Convert to fraction form
    312,968.25/675,724.50 = 675,724.50/x
  3. Step 3: Cross multiply
    312,968.25x = 675,724.50 × 675,724.50
  4. Step 4: Simplify right side
    312,968.25x = 456,603,599,900.25
  5. Step 5: Solve for x
    x = 456,603,599,900.25/312,968.25
  6. Step 6: Final answer
    x = 1,458,945.44

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.