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Finding the Third Proportional to 538,606 and 819,102

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Solution

The third proportional to 538,606 and 819,102 is: 1,245,675.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    538,606 : 819,102 = 819,102 : x
  2. Step 2: Convert to fraction form
    538,606/819,102 = 819,102/x
  3. Step 3: Cross multiply
    538,606x = 819,102 × 819,102
  4. Step 4: Simplify right side
    538,606x = 670,928,086,404
  5. Step 5: Solve for x
    x = 670,928,086,404/538,606
  6. Step 6: Final answer
    x = 1,245,675.11

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.