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Finding the Third Proportional to 431,102 and 939,412

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Solution

The third proportional to 431,102 and 939,412 is: 2,047,067.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    431,102 : 939,412 = 939,412 : x
  2. Step 2: Convert to fraction form
    431,102/939,412 = 939,412/x
  3. Step 3: Cross multiply
    431,102x = 939,412 × 939,412
  4. Step 4: Simplify right side
    431,102x = 882,494,905,744
  5. Step 5: Solve for x
    x = 882,494,905,744/431,102
  6. Step 6: Final answer
    x = 2,047,067.53

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.