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Finding the Third Proportional to 194,725,228.50 and 278,438,404.50

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Solution

The third proportional to 194,725,228.50 and 278,438,404.50 is: 398,140,218.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    194,725,228.50 : 278,438,404.50 = 278,438,404.50 : x
  2. Step 2: Convert to fraction form
    194,725,228.50/278,438,404.50 = 278,438,404.50/x
  3. Step 3: Cross multiply
    194,725,228.50x = 278,438,404.50 × 278,438,404.50
  4. Step 4: Simplify right side
    194,725,228.50x = 77,527,945,100,505,616
  5. Step 5: Solve for x
    x = 77,527,945,100,505,616/194,725,228.50
  6. Step 6: Final answer
    x = 398,140,218.90

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These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.