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Finding the Third Proportional to 378,248 and 819,534

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Solution

The third proportional to 378,248 and 819,534 is: 1,775,649.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    378,248 : 819,534 = 819,534 : x
  2. Step 2: Convert to fraction form
    378,248/819,534 = 819,534/x
  3. Step 3: Cross multiply
    378,248x = 819,534 × 819,534
  4. Step 4: Simplify right side
    378,248x = 671,635,977,156
  5. Step 5: Solve for x
    x = 671,635,977,156/378,248
  6. Step 6: Final answer
    x = 1,775,649.78

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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.