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Finding the Third Proportional to 205,530,488 and 485,015,172

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Solution

The third proportional to 205,530,488 and 485,015,172 is: 1,144,549,012.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    205,530,488 : 485,015,172 = 485,015,172 : x
  2. Step 2: Convert to fraction form
    205,530,488/485,015,172 = 485,015,172/x
  3. Step 3: Cross multiply
    205,530,488x = 485,015,172 × 485,015,172
  4. Step 4: Simplify right side
    205,530,488x = 235,239,717,070,189,568
  5. Step 5: Solve for x
    x = 235,239,717,070,189,568/205,530,488
  6. Step 6: Final answer
    x = 1,144,549,012.46

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Why These Related Problems?

These problems maintain the same ratio (2.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.