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Finding the Third Proportional to 258,942,878 and 394,877,328

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Solution

The third proportional to 258,942,878 and 394,877,328 is: 602,171,820.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    258,942,878 : 394,877,328 = 394,877,328 : x
  2. Step 2: Convert to fraction form
    258,942,878/394,877,328 = 394,877,328/x
  3. Step 3: Cross multiply
    258,942,878x = 394,877,328 × 394,877,328
  4. Step 4: Simplify right side
    258,942,878x = 155,928,104,168,419,584
  5. Step 5: Solve for x
    x = 155,928,104,168,419,584/258,942,878
  6. Step 6: Final answer
    x = 602,171,820.18

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.