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Finding the Third Proportional to 76,980 and 115,164

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Solution

The third proportional to 76,980 and 115,164 is: 172,288.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,980 : 115,164 = 115,164 : x
  2. Step 2: Convert to fraction form
    76,980/115,164 = 115,164/x
  3. Step 3: Cross multiply
    76,980x = 115,164 × 115,164
  4. Step 4: Simplify right side
    76,980x = 13,262,746,896
  5. Step 5: Solve for x
    x = 13,262,746,896/76,980
  6. Step 6: Final answer
    x = 172,288.22

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.