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Finding the Third Proportional to 306,270 and 491,690

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Solution

The third proportional to 306,270 and 491,690 is: 789,365.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    306,270 : 491,690 = 491,690 : x
  2. Step 2: Convert to fraction form
    306,270/491,690 = 491,690/x
  3. Step 3: Cross multiply
    306,270x = 491,690 × 491,690
  4. Step 4: Simplify right side
    306,270x = 241,759,056,100
  5. Step 5: Solve for x
    x = 241,759,056,100/306,270
  6. Step 6: Final answer
    x = 789,365.78

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Why These Related Problems?

These problems maintain the same ratio (1.61) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.