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Finding the Third Proportional to 8,381,799 and 12,816,306

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Solution

The third proportional to 8,381,799 and 12,816,306 is: 19,596,950.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,381,799 : 12,816,306 = 12,816,306 : x
  2. Step 2: Convert to fraction form
    8,381,799/12,816,306 = 12,816,306/x
  3. Step 3: Cross multiply
    8,381,799x = 12,816,306 × 12,816,306
  4. Step 4: Simplify right side
    8,381,799x = 164,257,699,485,636
  5. Step 5: Solve for x
    x = 164,257,699,485,636/8,381,799
  6. Step 6: Final answer
    x = 19,596,950.43

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.