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Finding the Third Proportional to 305,517 and 462,207

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Solution

The third proportional to 305,517 and 462,207 is: 699,258.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    305,517 : 462,207 = 462,207 : x
  2. Step 2: Convert to fraction form
    305,517/462,207 = 462,207/x
  3. Step 3: Cross multiply
    305,517x = 462,207 × 462,207
  4. Step 4: Simplify right side
    305,517x = 213,635,310,849
  5. Step 5: Solve for x
    x = 213,635,310,849/305,517
  6. Step 6: Final answer
    x = 699,258.34

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.