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Finding the Third Proportional to 45,956 and 73,733

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Solution

The third proportional to 45,956 and 73,733 is: 118,299.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    45,956 : 73,733 = 73,733 : x
  2. Step 2: Convert to fraction form
    45,956/73,733 = 73,733/x
  3. Step 3: Cross multiply
    45,956x = 73,733 × 73,733
  4. Step 4: Simplify right side
    45,956x = 5,436,555,289
  5. Step 5: Solve for x
    x = 5,436,555,289/45,956
  6. Step 6: Final answer
    x = 118,299.14

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Why These Related Problems?

These problems maintain the same ratio (1.60) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.