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Finding the Third Proportional to 638,291 and 945,112

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Solution

The third proportional to 638,291 and 945,112 is: 1,399,419.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    638,291 : 945,112 = 945,112 : x
  2. Step 2: Convert to fraction form
    638,291/945,112 = 945,112/x
  3. Step 3: Cross multiply
    638,291x = 945,112 × 945,112
  4. Step 4: Simplify right side
    638,291x = 893,236,692,544
  5. Step 5: Solve for x
    x = 893,236,692,544/638,291
  6. Step 6: Final answer
    x = 1,399,419.22

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Why These Related Problems?

These problems maintain the same ratio (1.48) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.