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Finding the Third Proportional to 490,638.75 and 1,039,545

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Solution

The third proportional to 490,638.75 and 1,039,545 is: 2,202,544.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    490,638.75 : 1,039,545 = 1,039,545 : x
  2. Step 2: Convert to fraction form
    490,638.75/1,039,545 = 1,039,545/x
  3. Step 3: Cross multiply
    490,638.75x = 1,039,545 × 1,039,545
  4. Step 4: Simplify right side
    490,638.75x = 1,080,653,807,025
  5. Step 5: Solve for x
    x = 1,080,653,807,025/490,638.75
  6. Step 6: Final answer
    x = 2,202,544.76

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.