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Finding the Third Proportional to 490,835 and 1,040,989

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Solution

The third proportional to 490,835 and 1,040,989 is: 2,207,784.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    490,835 : 1,040,989 = 1,040,989 : x
  2. Step 2: Convert to fraction form
    490,835/1,040,989 = 1,040,989/x
  3. Step 3: Cross multiply
    490,835x = 1,040,989 × 1,040,989
  4. Step 4: Simplify right side
    490,835x = 1,083,658,098,121
  5. Step 5: Solve for x
    x = 1,083,658,098,121/490,835
  6. Step 6: Final answer
    x = 2,207,784.89

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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.