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Finding the Third Proportional to 76,828 and 118,520

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Solution

The third proportional to 76,828 and 118,520 is: 182,836.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,828 : 118,520 = 118,520 : x
  2. Step 2: Convert to fraction form
    76,828/118,520 = 118,520/x
  3. Step 3: Cross multiply
    76,828x = 118,520 × 118,520
  4. Step 4: Simplify right side
    76,828x = 14,046,990,400
  5. Step 5: Solve for x
    x = 14,046,990,400/76,828
  6. Step 6: Final answer
    x = 182,836.86

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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.