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Finding the Third Proportional to 647,138 and 979,756

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Solution

The third proportional to 647,138 and 979,756 is: 1,483,334.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    647,138 : 979,756 = 979,756 : x
  2. Step 2: Convert to fraction form
    647,138/979,756 = 979,756/x
  3. Step 3: Cross multiply
    647,138x = 979,756 × 979,756
  4. Step 4: Simplify right side
    647,138x = 959,921,819,536
  5. Step 5: Solve for x
    x = 959,921,819,536/647,138
  6. Step 6: Final answer
    x = 1,483,334.03

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.