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Finding the Third Proportional to 538,603 and 819,097

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Solution

The third proportional to 538,603 and 819,097 is: 1,245,666.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    538,603 : 819,097 = 819,097 : x
  2. Step 2: Convert to fraction form
    538,603/819,097 = 819,097/x
  3. Step 3: Cross multiply
    538,603x = 819,097 × 819,097
  4. Step 4: Simplify right side
    538,603x = 670,919,895,409
  5. Step 5: Solve for x
    x = 670,919,895,409/538,603
  6. Step 6: Final answer
    x = 1,245,666.84

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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.