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Finding the Third Proportional to 76,989.23 and 115,170.61

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Solution

The third proportional to 76,989.23 and 115,170.61 is: 172,287.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,989.23 : 115,170.61 = 115,170.61 : x
  2. Step 2: Convert to fraction form
    76,989.23/115,170.61 = 115,170.61/x
  3. Step 3: Cross multiply
    76,989.23x = 115,170.61 × 115,170.61
  4. Step 4: Simplify right side
    76,989.23x = 13,264,269,263.81
  5. Step 5: Solve for x
    x = 13,264,269,263.81/76,989.23
  6. Step 6: Final answer
    x = 172,287.33

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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.