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Finding the Third Proportional to 306,518 and 668,216

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Solution

The third proportional to 306,518 and 668,216 is: 1,456,725.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    306,518 : 668,216 = 668,216 : x
  2. Step 2: Convert to fraction form
    306,518/668,216 = 668,216/x
  3. Step 3: Cross multiply
    306,518x = 668,216 × 668,216
  4. Step 4: Simplify right side
    306,518x = 446,512,622,656
  5. Step 5: Solve for x
    x = 446,512,622,656/306,518
  6. Step 6: Final answer
    x = 1,456,725.62

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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.