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Finding the Third Proportional to 178,305,354 and 388,265,174

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Solution

The third proportional to 178,305,354 and 388,265,174 is: 845,458,882.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    178,305,354 : 388,265,174 = 388,265,174 : x
  2. Step 2: Convert to fraction form
    178,305,354/388,265,174 = 388,265,174/x
  3. Step 3: Cross multiply
    178,305,354x = 388,265,174 × 388,265,174
  4. Step 4: Simplify right side
    178,305,354x = 150,749,845,341,250,272
  5. Step 5: Solve for x
    x = 150,749,845,341,250,272/178,305,354
  6. Step 6: Final answer
    x = 845,458,882.53

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.