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Finding the Third Proportional to 306,996 and 665,496

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Solution

The third proportional to 306,996 and 665,496 is: 1,442,640.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    306,996 : 665,496 = 665,496 : x
  2. Step 2: Convert to fraction form
    306,996/665,496 = 665,496/x
  3. Step 3: Cross multiply
    306,996x = 665,496 × 665,496
  4. Step 4: Simplify right side
    306,996x = 442,884,926,016
  5. Step 5: Solve for x
    x = 442,884,926,016/306,996
  6. Step 6: Final answer
    x = 1,442,640.71

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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.