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Finding the Third Proportional to 75,883 and 114,068

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Solution

The third proportional to 75,883 and 114,068 is: 171,468.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    75,883 : 114,068 = 114,068 : x
  2. Step 2: Convert to fraction form
    75,883/114,068 = 114,068/x
  3. Step 3: Cross multiply
    75,883x = 114,068 × 114,068
  4. Step 4: Simplify right side
    75,883x = 13,011,508,624
  5. Step 5: Solve for x
    x = 13,011,508,624/75,883
  6. Step 6: Final answer
    x = 171,468.03

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.