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Finding the Third Proportional to 139,621 and 208,867

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Solution

The third proportional to 139,621 and 208,867 is: 312,456.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    139,621 : 208,867 = 208,867 : x
  2. Step 2: Convert to fraction form
    139,621/208,867 = 208,867/x
  3. Step 3: Cross multiply
    139,621x = 208,867 × 208,867
  4. Step 4: Simplify right side
    139,621x = 43,625,423,689
  5. Step 5: Solve for x
    x = 43,625,423,689/139,621
  6. Step 6: Final answer
    x = 312,456.03

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.