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Finding the Third Proportional to 305,493,974 and 680,134,406

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Solution

The third proportional to 305,493,974 and 680,134,406 is: 1,514,212,552.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    305,493,974 : 680,134,406 = 680,134,406 : x
  2. Step 2: Convert to fraction form
    305,493,974/680,134,406 = 680,134,406/x
  3. Step 3: Cross multiply
    305,493,974x = 680,134,406 × 680,134,406
  4. Step 4: Simplify right side
    305,493,974x = 462,582,810,224,972,864
  5. Step 5: Solve for x
    x = 462,582,810,224,972,864/305,493,974
  6. Step 6: Final answer
    x = 1,514,212,552.77

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Why These Related Problems?

These problems maintain the same ratio (2.23) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.