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Finding the Third Proportional to 275,683,968 and 426,819,456

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Solution

The third proportional to 275,683,968 and 426,819,456 is: 660,810,453.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    275,683,968 : 426,819,456 = 426,819,456 : x
  2. Step 2: Convert to fraction form
    275,683,968/426,819,456 = 426,819,456/x
  3. Step 3: Cross multiply
    275,683,968x = 426,819,456 × 426,819,456
  4. Step 4: Simplify right side
    275,683,968x = 182,174,848,020,135,936
  5. Step 5: Solve for x
    x = 182,174,848,020,135,936/275,683,968
  6. Step 6: Final answer
    x = 660,810,453.87

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.