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Finding the Third Proportional to 132,999 and 289,326

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Solution

The third proportional to 132,999 and 289,326 is: 629,399.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    132,999 : 289,326 = 289,326 : x
  2. Step 2: Convert to fraction form
    132,999/289,326 = 289,326/x
  3. Step 3: Cross multiply
    132,999x = 289,326 × 289,326
  4. Step 4: Simplify right side
    132,999x = 83,709,534,276
  5. Step 5: Solve for x
    x = 83,709,534,276/132,999
  6. Step 6: Final answer
    x = 629,399.73

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.