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Finding the Third Proportional to 1,378,178,543 and 2,118,360,077

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Solution

The third proportional to 1,378,178,543 and 2,118,360,077 is: 3,256,072,617.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,378,178,543 : 2,118,360,077 = 2,118,360,077 : x
  2. Step 2: Convert to fraction form
    1,378,178,543/2,118,360,077 = 2,118,360,077/x
  3. Step 3: Cross multiply
    1,378,178,543x = 2,118,360,077 × 2,118,360,077
  4. Step 4: Simplify right side
    1,378,178,543x = 4,487,449,415,827,445,760
  5. Step 5: Solve for x
    x = 4,487,449,415,827,445,760/1,378,178,543
  6. Step 6: Final answer
    x = 3,256,072,617.46

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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.