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Finding the Third Proportional to 139,512 and 208,719

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Solution

The third proportional to 139,512 and 208,719 is: 312,257.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    139,512 : 208,719 = 208,719 : x
  2. Step 2: Convert to fraction form
    139,512/208,719 = 208,719/x
  3. Step 3: Cross multiply
    139,512x = 208,719 × 208,719
  4. Step 4: Simplify right side
    139,512x = 43,563,620,961
  5. Step 5: Solve for x
    x = 43,563,620,961/139,512
  6. Step 6: Final answer
    x = 312,257.16

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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.