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Finding the Third Proportional to 307,158 and 638,838

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Solution

The third proportional to 307,158 and 638,838 is: 1,328,677.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    307,158 : 638,838 = 638,838 : x
  2. Step 2: Convert to fraction form
    307,158/638,838 = 638,838/x
  3. Step 3: Cross multiply
    307,158x = 638,838 × 638,838
  4. Step 4: Simplify right side
    307,158x = 408,113,990,244
  5. Step 5: Solve for x
    x = 408,113,990,244/307,158
  6. Step 6: Final answer
    x = 1,328,677.72

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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.