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Finding the Third Proportional to 203,690,520 and 416,793,894

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Solution

The third proportional to 203,690,520 and 416,793,894 is: 852,848,478.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    203,690,520 : 416,793,894 = 416,793,894 : x
  2. Step 2: Convert to fraction form
    203,690,520/416,793,894 = 416,793,894/x
  3. Step 3: Cross multiply
    203,690,520x = 416,793,894 × 416,793,894
  4. Step 4: Simplify right side
    203,690,520x = 173,717,150,075,683,232
  5. Step 5: Solve for x
    x = 173,717,150,075,683,232/203,690,520
  6. Step 6: Final answer
    x = 852,848,478.54

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Why These Related Problems?

These problems maintain the same ratio (2.05) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.