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Finding the Third Proportional to 285,630,957 and 394,677,095.25

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Solution

The third proportional to 285,630,957 and 394,677,095.25 is: 545,354,086.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    285,630,957 : 394,677,095.25 = 394,677,095.25 : x
  2. Step 2: Convert to fraction form
    285,630,957/394,677,095.25 = 394,677,095.25/x
  3. Step 3: Cross multiply
    285,630,957x = 394,677,095.25 × 394,677,095.25
  4. Step 4: Simplify right side
    285,630,957x = 155,770,009,514,977,568
  5. Step 5: Solve for x
    x = 155,770,009,514,977,568/285,630,957
  6. Step 6: Final answer
    x = 545,354,086.09

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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.