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Finding the Third Proportional to 307,263 and 639,051

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Solution

The third proportional to 307,263 and 639,051 is: 1,329,109.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    307,263 : 639,051 = 639,051 : x
  2. Step 2: Convert to fraction form
    307,263/639,051 = 639,051/x
  3. Step 3: Cross multiply
    307,263x = 639,051 × 639,051
  4. Step 4: Simplify right side
    307,263x = 408,386,180,601
  5. Step 5: Solve for x
    x = 408,386,180,601/307,263
  6. Step 6: Final answer
    x = 1,329,109.53

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.