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Finding the Third Proportional to 178,305,344.25 and 388,265,156.25

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Solution

The third proportional to 178,305,344.25 and 388,265,156.25 is: 845,458,851.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    178,305,344.25 : 388,265,156.25 = 388,265,156.25 : x
  2. Step 2: Convert to fraction form
    178,305,344.25/388,265,156.25 = 388,265,156.25/x
  3. Step 3: Cross multiply
    178,305,344.25x = 388,265,156.25 × 388,265,156.25
  4. Step 4: Simplify right side
    178,305,344.25x = 150,749,831,557,836,928
  5. Step 5: Solve for x
    x = 150,749,831,557,836,928/178,305,344.25
  6. Step 6: Final answer
    x = 845,458,851.45

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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.