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Finding the Third Proportional to 378,757,664 and 815,042,176

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Solution

The third proportional to 378,757,664 and 815,042,176 is: 1,753,875,397.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    378,757,664 : 815,042,176 = 815,042,176 : x
  2. Step 2: Convert to fraction form
    378,757,664/815,042,176 = 815,042,176/x
  3. Step 3: Cross multiply
    378,757,664x = 815,042,176 × 815,042,176
  4. Step 4: Simplify right side
    378,757,664x = 664,293,748,658,814,976
  5. Step 5: Solve for x
    x = 664,293,748,658,814,976/378,757,664
  6. Step 6: Final answer
    x = 1,753,875,397.91

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.