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Finding the Third Proportional to 71,690 and 155,956

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Solution

The third proportional to 71,690 and 155,956 is: 339,270.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,690 : 155,956 = 155,956 : x
  2. Step 2: Convert to fraction form
    71,690/155,956 = 155,956/x
  3. Step 3: Cross multiply
    71,690x = 155,956 × 155,956
  4. Step 4: Simplify right side
    71,690x = 24,322,273,936
  5. Step 5: Solve for x
    x = 24,322,273,936/71,690
  6. Step 6: Final answer
    x = 339,270.11

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.