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Finding the Third Proportional to 422,610 and 939,712

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Solution

The third proportional to 422,610 and 939,712 is: 2,089,535.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    422,610 : 939,712 = 939,712 : x
  2. Step 2: Convert to fraction form
    422,610/939,712 = 939,712/x
  3. Step 3: Cross multiply
    422,610x = 939,712 × 939,712
  4. Step 4: Simplify right side
    422,610x = 883,058,642,944
  5. Step 5: Solve for x
    x = 883,058,642,944/422,610
  6. Step 6: Final answer
    x = 2,089,535.61

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Why These Related Problems?

These problems maintain the same ratio (2.22) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.