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Finding the Third Proportional to 309,100.50 and 490,380.75

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Solution

The third proportional to 309,100.50 and 490,380.75 is: 777,977.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    309,100.50 : 490,380.75 = 490,380.75 : x
  2. Step 2: Convert to fraction form
    309,100.50/490,380.75 = 490,380.75/x
  3. Step 3: Cross multiply
    309,100.50x = 490,380.75 × 490,380.75
  4. Step 4: Simplify right side
    309,100.50x = 240,473,279,970.56
  5. Step 5: Solve for x
    x = 240,473,279,970.56/309,100.50
  6. Step 6: Final answer
    x = 777,977.65

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These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.