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Finding the Third Proportional to 3,110,154.47 and 6,468,525.84

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Solution

The third proportional to 3,110,154.47 and 6,468,525.84 is: 13,453,295.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,110,154.47 : 6,468,525.84 = 6,468,525.84 : x
  2. Step 2: Convert to fraction form
    3,110,154.47/6,468,525.84 = 6,468,525.84/x
  3. Step 3: Cross multiply
    3,110,154.47x = 6,468,525.84 × 6,468,525.84
  4. Step 4: Simplify right side
    3,110,154.47x = 41,841,826,591,261.65
  5. Step 5: Solve for x
    x = 41,841,826,591,261.65/3,110,154.47
  6. Step 6: Final answer
    x = 13,453,295.33

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These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.