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Finding the Third Proportional to 643,859,690 and 1,394,683,036

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Solution

The third proportional to 643,859,690 and 1,394,683,036 is: 3,021,063,130.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    643,859,690 : 1,394,683,036 = 1,394,683,036 : x
  2. Step 2: Convert to fraction form
    643,859,690/1,394,683,036 = 1,394,683,036/x
  3. Step 3: Cross multiply
    643,859,690x = 1,394,683,036 × 1,394,683,036
  4. Step 4: Simplify right side
    643,859,690x = 1,945,140,770,906,177,280
  5. Step 5: Solve for x
    x = 1,945,140,770,906,177,280/643,859,690
  6. Step 6: Final answer
    x = 3,021,063,130.86

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.