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Finding the Third Proportional to 306,195 and 664,968

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Solution

The third proportional to 306,195 and 664,968 is: 1,444,120.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    306,195 : 664,968 = 664,968 : x
  2. Step 2: Convert to fraction form
    306,195/664,968 = 664,968/x
  3. Step 3: Cross multiply
    306,195x = 664,968 × 664,968
  4. Step 4: Simplify right side
    306,195x = 442,182,441,024
  5. Step 5: Solve for x
    x = 442,182,441,024/306,195
  6. Step 6: Final answer
    x = 1,444,120.38

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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.