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Finding the Third Proportional to 619,339 and 905,110

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Solution

The third proportional to 619,339 and 905,110 is: 1,322,739.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    619,339 : 905,110 = 905,110 : x
  2. Step 2: Convert to fraction form
    619,339/905,110 = 905,110/x
  3. Step 3: Cross multiply
    619,339x = 905,110 × 905,110
  4. Step 4: Simplify right side
    619,339x = 819,224,112,100
  5. Step 5: Solve for x
    x = 819,224,112,100/619,339
  6. Step 6: Final answer
    x = 1,322,739.42

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.