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Finding the Third Proportional to 643,853,685 and 1,394,670,395.25

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Solution

The third proportional to 643,853,685 and 1,394,670,395.25 is: 3,021,036,544.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    643,853,685 : 1,394,670,395.25 = 1,394,670,395.25 : x
  2. Step 2: Convert to fraction form
    643,853,685/1,394,670,395.25 = 1,394,670,395.25/x
  3. Step 3: Cross multiply
    643,853,685x = 1,394,670,395.25 × 1,394,670,395.25
  4. Step 4: Simplify right side
    643,853,685x = 1,945,105,511,386,791,168
  5. Step 5: Solve for x
    x = 1,945,105,511,386,791,168/643,853,685
  6. Step 6: Final answer
    x = 3,021,036,544.02

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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.