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Finding the Third Proportional to 81,447 and 119,259

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Solution

The third proportional to 81,447 and 119,259 is: 174,625.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    81,447 : 119,259 = 119,259 : x
  2. Step 2: Convert to fraction form
    81,447/119,259 = 119,259/x
  3. Step 3: Cross multiply
    81,447x = 119,259 × 119,259
  4. Step 4: Simplify right side
    81,447x = 14,222,709,081
  5. Step 5: Solve for x
    x = 14,222,709,081/81,447
  6. Step 6: Final answer
    x = 174,625.33

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.