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Finding the Third Proportional to 8,072,738 and 12,143,127

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Solution

The third proportional to 8,072,738 and 12,143,127 is: 18,265,863.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,072,738 : 12,143,127 = 12,143,127 : x
  2. Step 2: Convert to fraction form
    8,072,738/12,143,127 = 12,143,127/x
  3. Step 3: Cross multiply
    8,072,738x = 12,143,127 × 12,143,127
  4. Step 4: Simplify right side
    8,072,738x = 147,455,533,338,129
  5. Step 5: Solve for x
    x = 147,455,533,338,129/8,072,738
  6. Step 6: Final answer
    x = 18,265,863.87

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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.