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Finding the Third Proportional to 76,670 and 117,682

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Solution

The third proportional to 76,670 and 117,682 is: 180,631.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,670 : 117,682 = 117,682 : x
  2. Step 2: Convert to fraction form
    76,670/117,682 = 117,682/x
  3. Step 3: Cross multiply
    76,670x = 117,682 × 117,682
  4. Step 4: Simplify right side
    76,670x = 13,849,053,124
  5. Step 5: Solve for x
    x = 13,849,053,124/76,670
  6. Step 6: Final answer
    x = 180,631.97

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.