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Finding the Third Proportional to 76,819 and 118,685

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Solution

The third proportional to 76,819 and 118,685 is: 183,367.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,819 : 118,685 = 118,685 : x
  2. Step 2: Convert to fraction form
    76,819/118,685 = 118,685/x
  3. Step 3: Cross multiply
    76,819x = 118,685 × 118,685
  4. Step 4: Simplify right side
    76,819x = 14,086,129,225
  5. Step 5: Solve for x
    x = 14,086,129,225/76,819
  6. Step 6: Final answer
    x = 183,367.78

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.