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Finding the Third Proportional to 1,378,178,538 and 2,118,360,069

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Solution

The third proportional to 1,378,178,538 and 2,118,360,069 is: 3,256,072,604.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,378,178,538 : 2,118,360,069 = 2,118,360,069 : x
  2. Step 2: Convert to fraction form
    1,378,178,538/2,118,360,069 = 2,118,360,069/x
  3. Step 3: Cross multiply
    1,378,178,538x = 2,118,360,069 × 2,118,360,069
  4. Step 4: Simplify right side
    1,378,178,538x = 4,487,449,381,933,684,736
  5. Step 5: Solve for x
    x = 4,487,449,381,933,684,736/1,378,178,538
  6. Step 6: Final answer
    x = 3,256,072,604.68

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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.