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Finding the Third Proportional to 305,194 and 662,930

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Solution

The third proportional to 305,194 and 662,930 is: 1,439,989.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    305,194 : 662,930 = 662,930 : x
  2. Step 2: Convert to fraction form
    305,194/662,930 = 662,930/x
  3. Step 3: Cross multiply
    305,194x = 662,930 × 662,930
  4. Step 4: Simplify right side
    305,194x = 439,476,184,900
  5. Step 5: Solve for x
    x = 439,476,184,900/305,194
  6. Step 6: Final answer
    x = 1,439,989.60

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.