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Finding the Third Proportional to 305,972 and 666,381

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Solution

The third proportional to 305,972 and 666,381 is: 1,451,321.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    305,972 : 666,381 = 666,381 : x
  2. Step 2: Convert to fraction form
    305,972/666,381 = 666,381/x
  3. Step 3: Cross multiply
    305,972x = 666,381 × 666,381
  4. Step 4: Simplify right side
    305,972x = 444,063,637,161
  5. Step 5: Solve for x
    x = 444,063,637,161/305,972
  6. Step 6: Final answer
    x = 1,451,321.16

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.