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Finding the Third Proportional to 476,852.25 and 668,406

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Solution

The third proportional to 476,852.25 and 668,406 is: 936,907.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    476,852.25 : 668,406 = 668,406 : x
  2. Step 2: Convert to fraction form
    476,852.25/668,406 = 668,406/x
  3. Step 3: Cross multiply
    476,852.25x = 668,406 × 668,406
  4. Step 4: Simplify right side
    476,852.25x = 446,766,580,836
  5. Step 5: Solve for x
    x = 446,766,580,836/476,852.25
  6. Step 6: Final answer
    x = 936,907.78

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Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.