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Finding the Third Proportional to 305,514 and 671,211

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Solution

The third proportional to 305,514 and 671,211 is: 1,474,643.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    305,514 : 671,211 = 671,211 : x
  2. Step 2: Convert to fraction form
    305,514/671,211 = 671,211/x
  3. Step 3: Cross multiply
    305,514x = 671,211 × 671,211
  4. Step 4: Simplify right side
    305,514x = 450,524,206,521
  5. Step 5: Solve for x
    x = 450,524,206,521/305,514
  6. Step 6: Final answer
    x = 1,474,643.41

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.