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Finding the Third Proportional to 285,630,960 and 394,677,099

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Solution

The third proportional to 285,630,960 and 394,677,099 is: 545,354,090.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    285,630,960 : 394,677,099 = 394,677,099 : x
  2. Step 2: Convert to fraction form
    285,630,960/394,677,099 = 394,677,099/x
  3. Step 3: Cross multiply
    285,630,960x = 394,677,099 × 394,677,099
  4. Step 4: Simplify right side
    285,630,960x = 155,770,012,475,055,808
  5. Step 5: Solve for x
    x = 155,770,012,475,055,808/285,630,960
  6. Step 6: Final answer
    x = 545,354,090.73

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.