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Finding the Third Proportional to 119,956 and 170,880

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Solution

The third proportional to 119,956 and 170,880 is: 243,422.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    119,956 : 170,880 = 170,880 : x
  2. Step 2: Convert to fraction form
    119,956/170,880 = 170,880/x
  3. Step 3: Cross multiply
    119,956x = 170,880 × 170,880
  4. Step 4: Simplify right side
    119,956x = 29,199,974,400
  5. Step 5: Solve for x
    x = 29,199,974,400/119,956
  6. Step 6: Final answer
    x = 243,422.37

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Why These Related Problems?

These problems maintain the same ratio (1.42) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.