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Finding the Third Proportional to 12,500,819 and 18,784,517

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Solution

The third proportional to 12,500,819 and 18,784,517 is: 28,226,796.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,500,819 : 18,784,517 = 18,784,517 : x
  2. Step 2: Convert to fraction form
    12,500,819/18,784,517 = 18,784,517/x
  3. Step 3: Cross multiply
    12,500,819x = 18,784,517 × 18,784,517
  4. Step 4: Simplify right side
    12,500,819x = 352,858,078,923,289
  5. Step 5: Solve for x
    x = 352,858,078,923,289/12,500,819
  6. Step 6: Final answer
    x = 28,226,796.89

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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.