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Finding the Third Proportional to 490,191 and 757,125.75

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Solution

The third proportional to 490,191 and 757,125.75 is: 1,169,420.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    490,191 : 757,125.75 = 757,125.75 : x
  2. Step 2: Convert to fraction form
    490,191/757,125.75 = 757,125.75/x
  3. Step 3: Cross multiply
    490,191x = 757,125.75 × 757,125.75
  4. Step 4: Simplify right side
    490,191x = 573,239,401,313.06
  5. Step 5: Solve for x
    x = 573,239,401,313.06/490,191
  6. Step 6: Final answer
    x = 1,169,420.49

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