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Finding the Third Proportional to 76,350 and 109,965

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Solution

The third proportional to 76,350 and 109,965 is: 158,379.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,350 : 109,965 = 109,965 : x
  2. Step 2: Convert to fraction form
    76,350/109,965 = 109,965/x
  3. Step 3: Cross multiply
    76,350x = 109,965 × 109,965
  4. Step 4: Simplify right side
    76,350x = 12,092,301,225
  5. Step 5: Solve for x
    x = 12,092,301,225/76,350
  6. Step 6: Final answer
    x = 158,379.85

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Why These Related Problems?

These problems maintain the same ratio (1.44) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.