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Finding the Third Proportional to 1,287,726,045 and 2,789,379,942

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Solution

The third proportional to 1,287,726,045 and 2,789,379,942 is: 6,042,155,077.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,287,726,045 : 2,789,379,942 = 2,789,379,942 : x
  2. Step 2: Convert to fraction form
    1,287,726,045/2,789,379,942 = 2,789,379,942/x
  3. Step 3: Cross multiply
    1,287,726,045x = 2,789,379,942 × 2,789,379,942
  4. Step 4: Simplify right side
    1,287,726,045x = 7,780,640,460,831,923,200
  5. Step 5: Solve for x
    x = 7,780,640,460,831,923,200/1,287,726,045
  6. Step 6: Final answer
    x = 6,042,155,077.19

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.