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Finding the Third Proportional to 305,912 and 670,912

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Solution

The third proportional to 305,912 and 670,912 is: 1,471,413.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    305,912 : 670,912 = 670,912 : x
  2. Step 2: Convert to fraction form
    305,912/670,912 = 670,912/x
  3. Step 3: Cross multiply
    305,912x = 670,912 × 670,912
  4. Step 4: Simplify right side
    305,912x = 450,122,911,744
  5. Step 5: Solve for x
    x = 450,122,911,744/305,912
  6. Step 6: Final answer
    x = 1,471,413.06

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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.