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Finding the Third Proportional to 317,379,009.38 and 490,218,039.56

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Solution

The third proportional to 317,379,009.38 and 490,218,039.56 is: 757,182,167.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    317,379,009.38 : 490,218,039.56 = 490,218,039.56 : x
  2. Step 2: Convert to fraction form
    317,379,009.38/490,218,039.56 = 490,218,039.56/x
  3. Step 3: Cross multiply
    317,379,009.38x = 490,218,039.56 × 490,218,039.56
  4. Step 4: Simplify right side
    317,379,009.38x = 240,313,726,312,500,800
  5. Step 5: Solve for x
    x = 240,313,726,312,500,800/317,379,009.38
  6. Step 6: Final answer
    x = 757,182,167.74

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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.