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Finding the Third Proportional to 8,199,704 and 12,729,297

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Solution

The third proportional to 8,199,704 and 12,729,297 is: 19,761,079.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,199,704 : 12,729,297 = 12,729,297 : x
  2. Step 2: Convert to fraction form
    8,199,704/12,729,297 = 12,729,297/x
  3. Step 3: Cross multiply
    8,199,704x = 12,729,297 × 12,729,297
  4. Step 4: Simplify right side
    8,199,704x = 162,035,002,114,209
  5. Step 5: Solve for x
    x = 162,035,002,114,209/8,199,704
  6. Step 6: Final answer
    x = 19,761,079.44

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.