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Finding the Third Proportional to 306,265 and 491,685

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Solution

The third proportional to 306,265 and 491,685 is: 789,362.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    306,265 : 491,685 = 491,685 : x
  2. Step 2: Convert to fraction form
    306,265/491,685 = 491,685/x
  3. Step 3: Cross multiply
    306,265x = 491,685 × 491,685
  4. Step 4: Simplify right side
    306,265x = 241,754,139,225
  5. Step 5: Solve for x
    x = 241,754,139,225/306,265
  6. Step 6: Final answer
    x = 789,362.61

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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.