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Finding the Third Proportional to 8,309,738.25 and 12,764,775.38

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Solution

The third proportional to 8,309,738.25 and 12,764,775.38 is: 19,608,257.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,309,738.25 : 12,764,775.38 = 12,764,775.38 : x
  2. Step 2: Convert to fraction form
    8,309,738.25/12,764,775.38 = 12,764,775.38/x
  3. Step 3: Cross multiply
    8,309,738.25x = 12,764,775.38 × 12,764,775.38
  4. Step 4: Simplify right side
    8,309,738.25x = 162,939,490,374,206.38
  5. Step 5: Solve for x
    x = 162,939,490,374,206.38/8,309,738.25
  6. Step 6: Final answer
    x = 19,608,257.86

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.