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Finding the Third Proportional to 366,078 and 671,406

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Solution

The third proportional to 366,078 and 671,406 is: 1,231,393.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    366,078 : 671,406 = 671,406 : x
  2. Step 2: Convert to fraction form
    366,078/671,406 = 671,406/x
  3. Step 3: Cross multiply
    366,078x = 671,406 × 671,406
  4. Step 4: Simplify right side
    366,078x = 450,786,016,836
  5. Step 5: Solve for x
    x = 450,786,016,836/366,078
  6. Step 6: Final answer
    x = 1,231,393.36

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Why These Related Problems?

These problems maintain the same ratio (1.83) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.