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Finding the Third Proportional to 422,507 and 939,467

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Solution

The third proportional to 422,507 and 939,467 is: 2,088,955.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    422,507 : 939,467 = 939,467 : x
  2. Step 2: Convert to fraction form
    422,507/939,467 = 939,467/x
  3. Step 3: Cross multiply
    422,507x = 939,467 × 939,467
  4. Step 4: Simplify right side
    422,507x = 882,598,244,089
  5. Step 5: Solve for x
    x = 882,598,244,089/422,507
  6. Step 6: Final answer
    x = 2,088,955.32

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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.