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Finding the Third Proportional to 422,509 and 939,469

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Solution

The third proportional to 422,509 and 939,469 is: 2,088,954.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    422,509 : 939,469 = 939,469 : x
  2. Step 2: Convert to fraction form
    422,509/939,469 = 939,469/x
  3. Step 3: Cross multiply
    422,509x = 939,469 × 939,469
  4. Step 4: Simplify right side
    422,509x = 882,602,001,961
  5. Step 5: Solve for x
    x = 882,602,001,961/422,509
  6. Step 6: Final answer
    x = 2,088,954.32

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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.