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Finding the Third Proportional to 378,732 and 825,258

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Solution

The third proportional to 378,732 and 825,258 is: 1,798,239.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    378,732 : 825,258 = 825,258 : x
  2. Step 2: Convert to fraction form
    378,732/825,258 = 825,258/x
  3. Step 3: Cross multiply
    378,732x = 825,258 × 825,258
  4. Step 4: Simplify right side
    378,732x = 681,050,766,564
  5. Step 5: Solve for x
    x = 681,050,766,564/378,732
  6. Step 6: Final answer
    x = 1,798,239.30

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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.