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Finding the Third Proportional to 305,453.25 and 670,016.25

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Solution

The third proportional to 305,453.25 and 670,016.25 is: 1,469,690.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    305,453.25 : 670,016.25 = 670,016.25 : x
  2. Step 2: Convert to fraction form
    305,453.25/670,016.25 = 670,016.25/x
  3. Step 3: Cross multiply
    305,453.25x = 670,016.25 × 670,016.25
  4. Step 4: Simplify right side
    305,453.25x = 448,921,775,264.06
  5. Step 5: Solve for x
    x = 448,921,775,264.06/305,453.25
  6. Step 6: Final answer
    x = 1,469,690.62

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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.