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Finding the Third Proportional to 778,100,978 and 1,667,405,988

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Solution

The third proportional to 778,100,978 and 1,667,405,988 is: 3,573,113,011.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    778,100,978 : 1,667,405,988 = 1,667,405,988 : x
  2. Step 2: Convert to fraction form
    778,100,978/1,667,405,988 = 1,667,405,988/x
  3. Step 3: Cross multiply
    778,100,978x = 1,667,405,988 × 1,667,405,988
  4. Step 4: Simplify right side
    778,100,978x = 2,780,242,728,818,256,384
  5. Step 5: Solve for x
    x = 2,780,242,728,818,256,384/778,100,978
  6. Step 6: Final answer
    x = 3,573,113,011.58

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.