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Finding the Third Proportional to 305,869 and 672,246

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Solution

The third proportional to 305,869 and 672,246 is: 1,477,477.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    305,869 : 672,246 = 672,246 : x
  2. Step 2: Convert to fraction form
    305,869/672,246 = 672,246/x
  3. Step 3: Cross multiply
    305,869x = 672,246 × 672,246
  4. Step 4: Simplify right side
    305,869x = 451,914,684,516
  5. Step 5: Solve for x
    x = 451,914,684,516/305,869
  6. Step 6: Final answer
    x = 1,477,477.89

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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.