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Finding the Third Proportional to 918,103,455 and 1,992,083,109.75

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Solution

The third proportional to 918,103,455 and 1,992,083,109.75 is: 4,322,383,381.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    918,103,455 : 1,992,083,109.75 = 1,992,083,109.75 : x
  2. Step 2: Convert to fraction form
    918,103,455/1,992,083,109.75 = 1,992,083,109.75/x
  3. Step 3: Cross multiply
    918,103,455x = 1,992,083,109.75 × 1,992,083,109.75
  4. Step 4: Simplify right side
    918,103,455x = 3,968,395,116,151,230,464
  5. Step 5: Solve for x
    x = 3,968,395,116,151,230,464/918,103,455
  6. Step 6: Final answer
    x = 4,322,383,381.24

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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.