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Finding the Third Proportional to 378,064 and 825,464

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Solution

The third proportional to 378,064 and 825,464 is: 1,802,316.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    378,064 : 825,464 = 825,464 : x
  2. Step 2: Convert to fraction form
    378,064/825,464 = 825,464/x
  3. Step 3: Cross multiply
    378,064x = 825,464 × 825,464
  4. Step 4: Simplify right side
    378,064x = 681,390,815,296
  5. Step 5: Solve for x
    x = 681,390,815,296/378,064
  6. Step 6: Final answer
    x = 1,802,316.05

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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.