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Finding the Third Proportional to 138,896 and 211,340

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Solution

The third proportional to 138,896 and 211,340 is: 321,568.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    138,896 : 211,340 = 211,340 : x
  2. Step 2: Convert to fraction form
    138,896/211,340 = 211,340/x
  3. Step 3: Cross multiply
    138,896x = 211,340 × 211,340
  4. Step 4: Simplify right side
    138,896x = 44,664,595,600
  5. Step 5: Solve for x
    x = 44,664,595,600/138,896
  6. Step 6: Final answer
    x = 321,568.62

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.