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Finding the Third Proportional to 307,678.50 and 664,564.50

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Solution

The third proportional to 307,678.50 and 664,564.50 is: 1,435,413.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    307,678.50 : 664,564.50 = 664,564.50 : x
  2. Step 2: Convert to fraction form
    307,678.50/664,564.50 = 664,564.50/x
  3. Step 3: Cross multiply
    307,678.50x = 664,564.50 × 664,564.50
  4. Step 4: Simplify right side
    307,678.50x = 441,645,974,660.25
  5. Step 5: Solve for x
    x = 441,645,974,660.25/307,678.50
  6. Step 6: Final answer
    x = 1,435,413.83

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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.