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Finding the Third Proportional to 306,105 and 666,424

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Solution

The third proportional to 306,105 and 666,424 is: 1,450,877.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    306,105 : 666,424 = 666,424 : x
  2. Step 2: Convert to fraction form
    306,105/666,424 = 666,424/x
  3. Step 3: Cross multiply
    306,105x = 666,424 × 666,424
  4. Step 4: Simplify right side
    306,105x = 444,120,947,776
  5. Step 5: Solve for x
    x = 444,120,947,776/306,105
  6. Step 6: Final answer
    x = 1,450,877.80

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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.