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Finding the Third Proportional to 75,780 and 114,622

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Solution

The third proportional to 75,780 and 114,622 is: 173,372.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    75,780 : 114,622 = 114,622 : x
  2. Step 2: Convert to fraction form
    75,780/114,622 = 114,622/x
  3. Step 3: Cross multiply
    75,780x = 114,622 × 114,622
  4. Step 4: Simplify right side
    75,780x = 13,138,202,884
  5. Step 5: Solve for x
    x = 13,138,202,884/75,780
  6. Step 6: Final answer
    x = 173,372.96

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.