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Finding the Third Proportional to 185,389,150.50 and 280,469,738.25

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Solution

The third proportional to 185,389,150.50 and 280,469,738.25 is: 424,314,334.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    185,389,150.50 : 280,469,738.25 = 280,469,738.25 : x
  2. Step 2: Convert to fraction form
    185,389,150.50/280,469,738.25 = 280,469,738.25/x
  3. Step 3: Cross multiply
    185,389,150.50x = 280,469,738.25 × 280,469,738.25
  4. Step 4: Simplify right side
    185,389,150.50x = 78,663,274,074,023,520
  5. Step 5: Solve for x
    x = 78,663,274,074,023,520/185,389,150.50
  6. Step 6: Final answer
    x = 424,314,334.80

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These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.