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Finding the Third Proportional to 81,326 and 118,283

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Solution

The third proportional to 81,326 and 118,283 is: 172,034.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    81,326 : 118,283 = 118,283 : x
  2. Step 2: Convert to fraction form
    81,326/118,283 = 118,283/x
  3. Step 3: Cross multiply
    81,326x = 118,283 × 118,283
  4. Step 4: Simplify right side
    81,326x = 13,990,868,089
  5. Step 5: Solve for x
    x = 13,990,868,089/81,326
  6. Step 6: Final answer
    x = 172,034.38

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Why These Related Problems?

These problems maintain the same ratio (1.45) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.