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Finding the Third Proportional to 317,379,012 and 490,218,048

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Solution

The third proportional to 317,379,012 and 490,218,048 is: 757,182,187.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    317,379,012 : 490,218,048 = 490,218,048 : x
  2. Step 2: Convert to fraction form
    317,379,012/490,218,048 = 490,218,048/x
  3. Step 3: Cross multiply
    317,379,012x = 490,218,048 × 490,218,048
  4. Step 4: Simplify right side
    317,379,012x = 240,313,734,584,930,304
  5. Step 5: Solve for x
    x = 240,313,734,584,930,304/317,379,012
  6. Step 6: Final answer
    x = 757,182,187.54

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.