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Finding the Third Proportional to 378,442 and 815,636

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Solution

The third proportional to 378,442 and 815,636 is: 1,757,897.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    378,442 : 815,636 = 815,636 : x
  2. Step 2: Convert to fraction form
    378,442/815,636 = 815,636/x
  3. Step 3: Cross multiply
    378,442x = 815,636 × 815,636
  4. Step 4: Simplify right side
    378,442x = 665,262,084,496
  5. Step 5: Solve for x
    x = 665,262,084,496/378,442
  6. Step 6: Final answer
    x = 1,757,897.07

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.