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Finding the Third Proportional to 389,619,099 and 584,941,149

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Solution

The third proportional to 389,619,099 and 584,941,149 is: 878,181,148.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    389,619,099 : 584,941,149 = 584,941,149 : x
  2. Step 2: Convert to fraction form
    389,619,099/584,941,149 = 584,941,149/x
  3. Step 3: Cross multiply
    389,619,099x = 584,941,149 × 584,941,149
  4. Step 4: Simplify right side
    389,619,099x = 342,156,147,793,440,192
  5. Step 5: Solve for x
    x = 342,156,147,793,440,192/389,619,099
  6. Step 6: Final answer
    x = 878,181,148.39

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.