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Finding the Third Proportional to 378,798 and 804,306

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Solution

The third proportional to 378,798 and 804,306 is: 1,707,791.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    378,798 : 804,306 = 804,306 : x
  2. Step 2: Convert to fraction form
    378,798/804,306 = 804,306/x
  3. Step 3: Cross multiply
    378,798x = 804,306 × 804,306
  4. Step 4: Simplify right side
    378,798x = 646,908,141,636
  5. Step 5: Solve for x
    x = 646,908,141,636/378,798
  6. Step 6: Final answer
    x = 1,707,791.86

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.