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Finding the Third Proportional to 379,569,678 and 828,737,580

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Solution

The third proportional to 379,569,678 and 828,737,580 is: 1,809,433,198.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    379,569,678 : 828,737,580 = 828,737,580 : x
  2. Step 2: Convert to fraction form
    379,569,678/828,737,580 = 828,737,580/x
  3. Step 3: Cross multiply
    379,569,678x = 828,737,580 × 828,737,580
  4. Step 4: Simplify right side
    379,569,678x = 686,805,976,504,256,384
  5. Step 5: Solve for x
    x = 686,805,976,504,256,384/379,569,678
  6. Step 6: Final answer
    x = 1,809,433,198.47

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.