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Finding the Third Proportional to 192,186,759.75 and 287,020,755

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Solution

The third proportional to 192,186,759.75 and 287,020,755 is: 428,650,308.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    192,186,759.75 : 287,020,755 = 287,020,755 : x
  2. Step 2: Convert to fraction form
    192,186,759.75/287,020,755 = 287,020,755/x
  3. Step 3: Cross multiply
    192,186,759.75x = 287,020,755 × 287,020,755
  4. Step 4: Simplify right side
    192,186,759.75x = 82,380,913,800,770,032
  5. Step 5: Solve for x
    x = 82,380,913,800,770,032/192,186,759.75
  6. Step 6: Final answer
    x = 428,650,308.21

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.