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Finding the Third Proportional to 861,320,466 and 1,889,380,728

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Solution

The third proportional to 861,320,466 and 1,889,380,728 is: 4,144,519,579.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    861,320,466 : 1,889,380,728 = 1,889,380,728 : x
  2. Step 2: Convert to fraction form
    861,320,466/1,889,380,728 = 1,889,380,728/x
  3. Step 3: Cross multiply
    861,320,466x = 1,889,380,728 × 1,889,380,728
  4. Step 4: Simplify right side
    861,320,466x = 3,569,759,535,337,809,920
  5. Step 5: Solve for x
    x = 3,569,759,535,337,809,920/861,320,466
  6. Step 6: Final answer
    x = 4,144,519,579.24

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.