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Finding the Third Proportional to 306,265 and 491,684

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Solution

The third proportional to 306,265 and 491,684 is: 789,359.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    306,265 : 491,684 = 491,684 : x
  2. Step 2: Convert to fraction form
    306,265/491,684 = 491,684/x
  3. Step 3: Cross multiply
    306,265x = 491,684 × 491,684
  4. Step 4: Simplify right side
    306,265x = 241,753,155,856
  5. Step 5: Solve for x
    x = 241,753,155,856/306,265
  6. Step 6: Final answer
    x = 789,359.40

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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.