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Finding the Third Proportional to 185,136,478 and 398,135,281

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Solution

The third proportional to 185,136,478 and 398,135,281 is: 856,188,384.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    185,136,478 : 398,135,281 = 398,135,281 : x
  2. Step 2: Convert to fraction form
    185,136,478/398,135,281 = 398,135,281/x
  3. Step 3: Cross multiply
    185,136,478x = 398,135,281 × 398,135,281
  4. Step 4: Simplify right side
    185,136,478x = 158,511,701,976,948,960
  5. Step 5: Solve for x
    x = 158,511,701,976,948,960/185,136,478
  6. Step 6: Final answer
    x = 856,188,384.32

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.