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Finding the Third Proportional to 81,471 and 119,290

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Solution

The third proportional to 81,471 and 119,290 is: 174,664.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    81,471 : 119,290 = 119,290 : x
  2. Step 2: Convert to fraction form
    81,471/119,290 = 119,290/x
  3. Step 3: Cross multiply
    81,471x = 119,290 × 119,290
  4. Step 4: Simplify right side
    81,471x = 14,230,104,100
  5. Step 5: Solve for x
    x = 14,230,104,100/81,471
  6. Step 6: Final answer
    x = 174,664.65

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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.