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Finding the Third Proportional to 354,222,456.75 and 770,744,787.75

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Solution

The third proportional to 354,222,456.75 and 770,744,787.75 is: 1,677,046,490.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    354,222,456.75 : 770,744,787.75 = 770,744,787.75 : x
  2. Step 2: Convert to fraction form
    354,222,456.75/770,744,787.75 = 770,744,787.75/x
  3. Step 3: Cross multiply
    354,222,456.75x = 770,744,787.75 × 770,744,787.75
  4. Step 4: Simplify right side
    354,222,456.75x = 594,047,527,843,792,512
  5. Step 5: Solve for x
    x = 594,047,527,843,792,512/354,222,456.75
  6. Step 6: Final answer
    x = 1,677,046,490.20

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.