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Finding the Third Proportional to 777,121,980 and 1,268,835,912

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Solution

The third proportional to 777,121,980 and 1,268,835,912 is: 2,071,675,506.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    777,121,980 : 1,268,835,912 = 1,268,835,912 : x
  2. Step 2: Convert to fraction form
    777,121,980/1,268,835,912 = 1,268,835,912/x
  3. Step 3: Cross multiply
    777,121,980x = 1,268,835,912 × 1,268,835,912
  4. Step 4: Simplify right side
    777,121,980x = 1,609,944,571,580,871,680
  5. Step 5: Solve for x
    x = 1,609,944,571,580,871,680/777,121,980
  6. Step 6: Final answer
    x = 2,071,675,506.57

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Why These Related Problems?

These problems maintain the same ratio (1.63) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.