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Finding the Third Proportional to 76,990.50 and 115,173

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Solution

The third proportional to 76,990.50 and 115,173 is: 172,291.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,990.50 : 115,173 = 115,173 : x
  2. Step 2: Convert to fraction form
    76,990.50/115,173 = 115,173/x
  3. Step 3: Cross multiply
    76,990.50x = 115,173 × 115,173
  4. Step 4: Simplify right side
    76,990.50x = 13,264,819,929
  5. Step 5: Solve for x
    x = 13,264,819,929/76,990.50
  6. Step 6: Final answer
    x = 172,291.65

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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.