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Finding the Third Proportional to 12,984,252.75 and 20,262,469.78

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Solution

The third proportional to 12,984,252.75 and 20,262,469.78 is: 31,620,432.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,984,252.75 : 20,262,469.78 = 20,262,469.78 : x
  2. Step 2: Convert to fraction form
    12,984,252.75/20,262,469.78 = 20,262,469.78/x
  3. Step 3: Cross multiply
    12,984,252.75x = 20,262,469.78 × 20,262,469.78
  4. Step 4: Simplify right side
    12,984,252.75x = 410,567,681,636,069.44
  5. Step 5: Solve for x
    x = 410,567,681,636,069.44/12,984,252.75
  6. Step 6: Final answer
    x = 31,620,432.04

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.