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Finding the Third Proportional to 501,373,116,036 and 1,101,242,340,801

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Solution

The third proportional to 501,373,116,036 and 1,101,242,340,801 is: 2,418,826,726,811.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    501,373,116,036 : 1,101,242,340,801 = 1,101,242,340,801 : x
  2. Step 2: Convert to fraction form
    501,373,116,036/1,101,242,340,801 = 1,101,242,340,801/x
  3. Step 3: Cross multiply
    501,373,116,036x = 1,101,242,340,801 × 1,101,242,340,801
  4. Step 4: Simplify right side
    501,373,116,036x = 1,212,734,693,172,865,797,193,728
  5. Step 5: Solve for x
    x = 1,212,734,693,172,865,797,193,728/501,373,116,036
  6. Step 6: Final answer
    x = 2,418,826,726,811.95

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These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.