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Finding the Third Proportional to 305,370 and 664,949.25

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Solution

The third proportional to 305,370 and 664,949.25 is: 1,447,940.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    305,370 : 664,949.25 = 664,949.25 : x
  2. Step 2: Convert to fraction form
    305,370/664,949.25 = 664,949.25/x
  3. Step 3: Cross multiply
    305,370x = 664,949.25 × 664,949.25
  4. Step 4: Simplify right side
    305,370x = 442,157,505,075.56
  5. Step 5: Solve for x
    x = 442,157,505,075.56/305,370
  6. Step 6: Final answer
    x = 1,447,940.22

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.