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Finding the Third Proportional to 6,838,121 and 10,827,993

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Solution

The third proportional to 6,838,121 and 10,827,993 is: 17,145,855.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,838,121 : 10,827,993 = 10,827,993 : x
  2. Step 2: Convert to fraction form
    6,838,121/10,827,993 = 10,827,993/x
  3. Step 3: Cross multiply
    6,838,121x = 10,827,993 × 10,827,993
  4. Step 4: Simplify right side
    6,838,121x = 117,245,432,408,049
  5. Step 5: Solve for x
    x = 117,245,432,408,049/6,838,121
  6. Step 6: Final answer
    x = 17,145,855.19

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Why These Related Problems?

These problems maintain the same ratio (1.58) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.