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Finding the Third Proportional to 313,048.50 and 419,379.75

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Solution

The third proportional to 313,048.50 and 419,379.75 is: 561,827.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    313,048.50 : 419,379.75 = 419,379.75 : x
  2. Step 2: Convert to fraction form
    313,048.50/419,379.75 = 419,379.75/x
  3. Step 3: Cross multiply
    313,048.50x = 419,379.75 × 419,379.75
  4. Step 4: Simplify right side
    313,048.50x = 175,879,374,710.06
  5. Step 5: Solve for x
    x = 175,879,374,710.06/313,048.50
  6. Step 6: Final answer
    x = 561,827.88

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Why These Related Problems?

These problems maintain the same ratio (1.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.