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Finding the Third Proportional to 90,998,189,586 and 197,835,100,462

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Solution

The third proportional to 90,998,189,586 and 197,835,100,462 is: 430,104,457,603.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    90,998,189,586 : 197,835,100,462 = 197,835,100,462 : x
  2. Step 2: Convert to fraction form
    90,998,189,586/197,835,100,462 = 197,835,100,462/x
  3. Step 3: Cross multiply
    90,998,189,586x = 197,835,100,462 × 197,835,100,462
  4. Step 4: Simplify right side
    90,998,189,586x = 39,138,726,974,809,631,096,832
  5. Step 5: Solve for x
    x = 39,138,726,974,809,631,096,832/90,998,189,586
  6. Step 6: Final answer
    x = 430,104,457,603.75

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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.