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Finding the Third Proportional to 285,630,958 and 394,677,096.50

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Solution

The third proportional to 285,630,958 and 394,677,096.50 is: 545,354,087.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    285,630,958 : 394,677,096.50 = 394,677,096.50 : x
  2. Step 2: Convert to fraction form
    285,630,958/394,677,096.50 = 394,677,096.50/x
  3. Step 3: Cross multiply
    285,630,958x = 394,677,096.50 × 394,677,096.50
  4. Step 4: Simplify right side
    285,630,958x = 155,770,010,501,670,304
  5. Step 5: Solve for x
    x = 155,770,010,501,670,304/285,630,958
  6. Step 6: Final answer
    x = 545,354,087.64

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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.