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Finding the Third Proportional to 178,135,668 and 275,823,189

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Solution

The third proportional to 178,135,668 and 275,823,189 is: 427,081,406.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    178,135,668 : 275,823,189 = 275,823,189 : x
  2. Step 2: Convert to fraction form
    178,135,668/275,823,189 = 275,823,189/x
  3. Step 3: Cross multiply
    178,135,668x = 275,823,189 × 275,823,189
  4. Step 4: Simplify right side
    178,135,668x = 76,078,431,590,129,728
  5. Step 5: Solve for x
    x = 76,078,431,590,129,728/178,135,668
  6. Step 6: Final answer
    x = 427,081,406.24

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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.