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Finding the Third Proportional to 383,573,369 and 828,436,198

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Solution

The third proportional to 383,573,369 and 828,436,198 is: 1,789,244,482.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    383,573,369 : 828,436,198 = 828,436,198 : x
  2. Step 2: Convert to fraction form
    383,573,369/828,436,198 = 828,436,198/x
  3. Step 3: Cross multiply
    383,573,369x = 828,436,198 × 828,436,198
  4. Step 4: Simplify right side
    383,573,369x = 686,306,534,156,695,168
  5. Step 5: Solve for x
    x = 686,306,534,156,695,168/383,573,369
  6. Step 6: Final answer
    x = 1,789,244,482.60

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.