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Finding the Third Proportional to 378,253 and 819,543

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Solution

The third proportional to 378,253 and 819,543 is: 1,775,665.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    378,253 : 819,543 = 819,543 : x
  2. Step 2: Convert to fraction form
    378,253/819,543 = 819,543/x
  3. Step 3: Cross multiply
    378,253x = 819,543 × 819,543
  4. Step 4: Simplify right side
    378,253x = 671,650,728,849
  5. Step 5: Solve for x
    x = 671,650,728,849/378,253
  6. Step 6: Final answer
    x = 1,775,665.31

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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.