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Finding the Third Proportional to 307,259 and 639,043

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Solution

The third proportional to 307,259 and 639,043 is: 1,329,093.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    307,259 : 639,043 = 639,043 : x
  2. Step 2: Convert to fraction form
    307,259/639,043 = 639,043/x
  3. Step 3: Cross multiply
    307,259x = 639,043 × 639,043
  4. Step 4: Simplify right side
    307,259x = 408,375,955,849
  5. Step 5: Solve for x
    x = 408,375,955,849/307,259
  6. Step 6: Final answer
    x = 1,329,093.55

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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.