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Finding the Third Proportional to 7,829,685 and 11,978,523

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Solution

The third proportional to 7,829,685 and 11,978,523 is: 18,325,770.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,829,685 : 11,978,523 = 11,978,523 : x
  2. Step 2: Convert to fraction form
    7,829,685/11,978,523 = 11,978,523/x
  3. Step 3: Cross multiply
    7,829,685x = 11,978,523 × 11,978,523
  4. Step 4: Simplify right side
    7,829,685x = 143,485,013,261,529
  5. Step 5: Solve for x
    x = 143,485,013,261,529/7,829,685
  6. Step 6: Final answer
    x = 18,325,770.87

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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.