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Finding the Third Proportional to 643,853,686 and 1,394,670,397

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Solution

The third proportional to 643,853,686 and 1,394,670,397 is: 3,021,036,546.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    643,853,686 : 1,394,670,397 = 1,394,670,397 : x
  2. Step 2: Convert to fraction form
    643,853,686/1,394,670,397 = 1,394,670,397/x
  3. Step 3: Cross multiply
    643,853,686x = 1,394,670,397 × 1,394,670,397
  4. Step 4: Simplify right side
    643,853,686x = 1,945,105,516,268,137,728
  5. Step 5: Solve for x
    x = 1,945,105,516,268,137,728/643,853,686
  6. Step 6: Final answer
    x = 3,021,036,546.91

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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.