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Finding the Third Proportional to 81,495 and 171,839

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Solution

The third proportional to 81,495 and 171,839 is: 362,336.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    81,495 : 171,839 = 171,839 : x
  2. Step 2: Convert to fraction form
    81,495/171,839 = 171,839/x
  3. Step 3: Cross multiply
    81,495x = 171,839 × 171,839
  4. Step 4: Simplify right side
    81,495x = 29,528,641,921
  5. Step 5: Solve for x
    x = 29,528,641,921/81,495
  6. Step 6: Final answer
    x = 362,336.85

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Why These Related Problems?

These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.