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Finding the Third Proportional to 139,129 and 208,722

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Solution

The third proportional to 139,129 and 208,722 is: 313,125.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    139,129 : 208,722 = 208,722 : x
  2. Step 2: Convert to fraction form
    139,129/208,722 = 208,722/x
  3. Step 3: Cross multiply
    139,129x = 208,722 × 208,722
  4. Step 4: Simplify right side
    139,129x = 43,564,873,284
  5. Step 5: Solve for x
    x = 43,564,873,284/139,129
  6. Step 6: Final answer
    x = 313,125.76

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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.