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Finding the Third Proportional to 472,378,453.50 and 664,923,084.50

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Solution

The third proportional to 472,378,453.50 and 664,923,084.50 is: 935,950,200.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    472,378,453.50 : 664,923,084.50 = 664,923,084.50 : x
  2. Step 2: Convert to fraction form
    472,378,453.50/664,923,084.50 = 664,923,084.50/x
  3. Step 3: Cross multiply
    472,378,453.50x = 664,923,084.50 × 664,923,084.50
  4. Step 4: Simplify right side
    472,378,453.50x = 442,122,708,300,994,112
  5. Step 5: Solve for x
    x = 442,122,708,300,994,112/472,378,453.50
  6. Step 6: Final answer
    x = 935,950,200.58

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These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.