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Finding the Third Proportional to 392,641,830 and 608,804,667

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Solution

The third proportional to 392,641,830 and 608,804,667 is: 943,972,583.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    392,641,830 : 608,804,667 = 608,804,667 : x
  2. Step 2: Convert to fraction form
    392,641,830/608,804,667 = 608,804,667/x
  3. Step 3: Cross multiply
    392,641,830x = 608,804,667 × 608,804,667
  4. Step 4: Simplify right side
    392,641,830x = 370,643,122,560,980,864
  5. Step 5: Solve for x
    x = 370,643,122,560,980,864/392,641,830
  6. Step 6: Final answer
    x = 943,972,583.26

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.