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Finding the Third Proportional to 405,417,375.75 and 885,147,917.25

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Solution

The third proportional to 405,417,375.75 and 885,147,917.25 is: 1,932,543,798.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    405,417,375.75 : 885,147,917.25 = 885,147,917.25 : x
  2. Step 2: Convert to fraction form
    405,417,375.75/885,147,917.25 = 885,147,917.25/x
  3. Step 3: Cross multiply
    405,417,375.75x = 885,147,917.25 × 885,147,917.25
  4. Step 4: Simplify right side
    405,417,375.75x = 783,486,835,412,012,800
  5. Step 5: Solve for x
    x = 783,486,835,412,012,800/405,417,375.75
  6. Step 6: Final answer
    x = 1,932,543,798.75

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.