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Finding the Third Proportional to 378,241 and 819,522

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Solution

The third proportional to 378,241 and 819,522 is: 1,775,630.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    378,241 : 819,522 = 819,522 : x
  2. Step 2: Convert to fraction form
    378,241/819,522 = 819,522/x
  3. Step 3: Cross multiply
    378,241x = 819,522 × 819,522
  4. Step 4: Simplify right side
    378,241x = 671,616,308,484
  5. Step 5: Solve for x
    x = 671,616,308,484/378,241
  6. Step 6: Final answer
    x = 1,775,630.64

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.