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Finding the Third Proportional to 76,816 and 118,686

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Solution

The third proportional to 76,816 and 118,686 is: 183,378.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,816 : 118,686 = 118,686 : x
  2. Step 2: Convert to fraction form
    76,816/118,686 = 118,686/x
  3. Step 3: Cross multiply
    76,816x = 118,686 × 118,686
  4. Step 4: Simplify right side
    76,816x = 14,086,366,596
  5. Step 5: Solve for x
    x = 14,086,366,596/76,816
  6. Step 6: Final answer
    x = 183,378.03

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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.