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Finding the Third Proportional to 6,781,317 and 10,171,989

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Solution

The third proportional to 6,781,317 and 10,171,989 is: 15,258,003.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,781,317 : 10,171,989 = 10,171,989 : x
  2. Step 2: Convert to fraction form
    6,781,317/10,171,989 = 10,171,989/x
  3. Step 3: Cross multiply
    6,781,317x = 10,171,989 × 10,171,989
  4. Step 4: Simplify right side
    6,781,317x = 103,469,360,216,121
  5. Step 5: Solve for x
    x = 103,469,360,216,121/6,781,317
  6. Step 6: Final answer
    x = 15,258,003.75

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.