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Finding the Third Proportional to 285,630,959 and 394,677,098

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Solution

The third proportional to 285,630,959 and 394,677,098 is: 545,354,089.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    285,630,959 : 394,677,098 = 394,677,098 : x
  2. Step 2: Convert to fraction form
    285,630,959/394,677,098 = 394,677,098/x
  3. Step 3: Cross multiply
    285,630,959x = 394,677,098 × 394,677,098
  4. Step 4: Simplify right side
    285,630,959x = 155,770,011,685,701,600
  5. Step 5: Solve for x
    x = 155,770,011,685,701,600/285,630,959
  6. Step 6: Final answer
    x = 545,354,089.88

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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.