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Finding the Third Proportional to 306,055 and 666,307

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Solution

The third proportional to 306,055 and 666,307 is: 1,450,605.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    306,055 : 666,307 = 666,307 : x
  2. Step 2: Convert to fraction form
    306,055/666,307 = 666,307/x
  3. Step 3: Cross multiply
    306,055x = 666,307 × 666,307
  4. Step 4: Simplify right side
    306,055x = 443,965,018,249
  5. Step 5: Solve for x
    x = 443,965,018,249/306,055
  6. Step 6: Final answer
    x = 1,450,605.34

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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.