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Finding the Third Proportional to 394,758,312 and 855,415,272

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Solution

The third proportional to 394,758,312 and 855,415,272 is: 1,853,628,575.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    394,758,312 : 855,415,272 = 855,415,272 : x
  2. Step 2: Convert to fraction form
    394,758,312/855,415,272 = 855,415,272/x
  3. Step 3: Cross multiply
    394,758,312x = 855,415,272 × 855,415,272
  4. Step 4: Simplify right side
    394,758,312x = 731,735,287,570,833,920
  5. Step 5: Solve for x
    x = 731,735,287,570,833,920/394,758,312
  6. Step 6: Final answer
    x = 1,853,628,575.58

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.