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Finding the Third Proportional to 753,012,194 and 1,100,620,002

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Solution

The third proportional to 753,012,194 and 1,100,620,002 is: 1,608,691,596.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    753,012,194 : 1,100,620,002 = 1,100,620,002 : x
  2. Step 2: Convert to fraction form
    753,012,194/1,100,620,002 = 1,100,620,002/x
  3. Step 3: Cross multiply
    753,012,194x = 1,100,620,002 × 1,100,620,002
  4. Step 4: Simplify right side
    753,012,194x = 1,211,364,388,802,480,128
  5. Step 5: Solve for x
    x = 1,211,364,388,802,480,128/753,012,194
  6. Step 6: Final answer
    x = 1,608,691,596.84

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.