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Finding the Third Proportional to 398,006 and 819,372

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Solution

The third proportional to 398,006 and 819,372 is: 1,686,835.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    398,006 : 819,372 = 819,372 : x
  2. Step 2: Convert to fraction form
    398,006/819,372 = 819,372/x
  3. Step 3: Cross multiply
    398,006x = 819,372 × 819,372
  4. Step 4: Simplify right side
    398,006x = 671,370,474,384
  5. Step 5: Solve for x
    x = 671,370,474,384/398,006
  6. Step 6: Final answer
    x = 1,686,835.06

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Why These Related Problems?

These problems maintain the same ratio (2.06) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.