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Finding the Third Proportional to 379,400,794.50 and 878,258,143.50

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Solution

The third proportional to 379,400,794.50 and 878,258,143.50 is: 2,033,040,989.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    379,400,794.50 : 878,258,143.50 = 878,258,143.50 : x
  2. Step 2: Convert to fraction form
    379,400,794.50/878,258,143.50 = 878,258,143.50/x
  3. Step 3: Cross multiply
    379,400,794.50x = 878,258,143.50 × 878,258,143.50
  4. Step 4: Simplify right side
    379,400,794.50x = 771,337,366,624,066,560
  5. Step 5: Solve for x
    x = 771,337,366,624,066,560/379,400,794.50
  6. Step 6: Final answer
    x = 2,033,040,989.39

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Why These Related Problems?

These problems maintain the same ratio (2.31) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.