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Finding the Third Proportional to 138,329 and 211,509

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Solution

The third proportional to 138,329 and 211,509 is: 323,403.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    138,329 : 211,509 = 211,509 : x
  2. Step 2: Convert to fraction form
    138,329/211,509 = 211,509/x
  3. Step 3: Cross multiply
    138,329x = 211,509 × 211,509
  4. Step 4: Simplify right side
    138,329x = 44,736,057,081
  5. Step 5: Solve for x
    x = 44,736,057,081/138,329
  6. Step 6: Final answer
    x = 323,403.31

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.