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Finding the Third Proportional to 317,379,091.50 and 490,218,169.50

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Solution

The third proportional to 317,379,091.50 and 490,218,169.50 is: 757,182,373.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    317,379,091.50 : 490,218,169.50 = 490,218,169.50 : x
  2. Step 2: Convert to fraction form
    317,379,091.50/490,218,169.50 = 490,218,169.50/x
  3. Step 3: Cross multiply
    317,379,091.50x = 490,218,169.50 × 490,218,169.50
  4. Step 4: Simplify right side
    317,379,091.50x = 240,313,853,707,930,720
  5. Step 5: Solve for x
    x = 240,313,853,707,930,720/317,379,091.50
  6. Step 6: Final answer
    x = 757,182,373.21

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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.