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Finding the Third Proportional to 76,830 and 119,244

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Solution

The third proportional to 76,830 and 119,244 is: 185,072.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,830 : 119,244 = 119,244 : x
  2. Step 2: Convert to fraction form
    76,830/119,244 = 119,244/x
  3. Step 3: Cross multiply
    76,830x = 119,244 × 119,244
  4. Step 4: Simplify right side
    76,830x = 14,219,131,536
  5. Step 5: Solve for x
    x = 14,219,131,536/76,830
  6. Step 6: Final answer
    x = 185,072.65

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.