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Finding the Third Proportional to 306,072 and 666,352

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Solution

The third proportional to 306,072 and 666,352 is: 1,450,720.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    306,072 : 666,352 = 666,352 : x
  2. Step 2: Convert to fraction form
    306,072/666,352 = 666,352/x
  3. Step 3: Cross multiply
    306,072x = 666,352 × 666,352
  4. Step 4: Simplify right side
    306,072x = 444,024,987,904
  5. Step 5: Solve for x
    x = 444,024,987,904/306,072
  6. Step 6: Final answer
    x = 1,450,720.71

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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.