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Finding the Third Proportional to 178,305,446.25 and 388,265,364

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Solution

The third proportional to 178,305,446.25 and 388,265,364 is: 845,459,272.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    178,305,446.25 : 388,265,364 = 388,265,364 : x
  2. Step 2: Convert to fraction form
    178,305,446.25/388,265,364 = 388,265,364/x
  3. Step 3: Cross multiply
    178,305,446.25x = 388,265,364 × 388,265,364
  4. Step 4: Simplify right side
    178,305,446.25x = 150,749,992,882,052,480
  5. Step 5: Solve for x
    x = 150,749,992,882,052,480/178,305,446.25
  6. Step 6: Final answer
    x = 845,459,272.57

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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.