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Finding the Third Proportional to 378,075 and 825,486

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Solution

The third proportional to 378,075 and 825,486 is: 1,802,359.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    378,075 : 825,486 = 825,486 : x
  2. Step 2: Convert to fraction form
    378,075/825,486 = 825,486/x
  3. Step 3: Cross multiply
    378,075x = 825,486 × 825,486
  4. Step 4: Simplify right side
    378,075x = 681,427,136,196
  5. Step 5: Solve for x
    x = 681,427,136,196/378,075
  6. Step 6: Final answer
    x = 1,802,359.68

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.