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Finding the Third Proportional to 76,680 and 117,447

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Solution

The third proportional to 76,680 and 117,447 is: 179,887.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,680 : 117,447 = 117,447 : x
  2. Step 2: Convert to fraction form
    76,680/117,447 = 117,447/x
  3. Step 3: Cross multiply
    76,680x = 117,447 × 117,447
  4. Step 4: Simplify right side
    76,680x = 13,793,797,809
  5. Step 5: Solve for x
    x = 13,793,797,809/76,680
  6. Step 6: Final answer
    x = 179,887.82

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.