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Finding the Third Proportional to 305,450 and 671,120

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Solution

The third proportional to 305,450 and 671,120 is: 1,474,552.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    305,450 : 671,120 = 671,120 : x
  2. Step 2: Convert to fraction form
    305,450/671,120 = 671,120/x
  3. Step 3: Cross multiply
    305,450x = 671,120 × 671,120
  4. Step 4: Simplify right side
    305,450x = 450,402,054,400
  5. Step 5: Solve for x
    x = 450,402,054,400/305,450
  6. Step 6: Final answer
    x = 1,474,552.48

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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.