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Finding the Third Proportional to 76,620 and 118,338

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Solution

The third proportional to 76,620 and 118,338 is: 182,770.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,620 : 118,338 = 118,338 : x
  2. Step 2: Convert to fraction form
    76,620/118,338 = 118,338/x
  3. Step 3: Cross multiply
    76,620x = 118,338 × 118,338
  4. Step 4: Simplify right side
    76,620x = 14,003,882,244
  5. Step 5: Solve for x
    x = 14,003,882,244/76,620
  6. Step 6: Final answer
    x = 182,770.59

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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.