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Finding the Third Proportional to 307,926.56 and 490,343.63

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Solution

The third proportional to 307,926.56 and 490,343.63 is: 780,825.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    307,926.56 : 490,343.63 = 490,343.63 : x
  2. Step 2: Convert to fraction form
    307,926.56/490,343.63 = 490,343.63/x
  3. Step 3: Cross multiply
    307,926.56x = 490,343.63 × 490,343.63
  4. Step 4: Simplify right side
    307,926.56x = 240,436,870,578.14
  5. Step 5: Solve for x
    x = 240,436,870,578.14/307,926.56
  6. Step 6: Final answer
    x = 780,825.37

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Why These Related Problems?

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