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Finding the Third Proportional to 306,948 and 666,384

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Solution

The third proportional to 306,948 and 666,384 is: 1,446,719.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    306,948 : 666,384 = 666,384 : x
  2. Step 2: Convert to fraction form
    306,948/666,384 = 666,384/x
  3. Step 3: Cross multiply
    306,948x = 666,384 × 666,384
  4. Step 4: Simplify right side
    306,948x = 444,067,635,456
  5. Step 5: Solve for x
    x = 444,067,635,456/306,948
  6. Step 6: Final answer
    x = 1,446,719.43

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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.