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Finding the Third Proportional to 76,469 and 179,915

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Solution

The third proportional to 76,469 and 179,915 is: 423,301.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,469 : 179,915 = 179,915 : x
  2. Step 2: Convert to fraction form
    76,469/179,915 = 179,915/x
  3. Step 3: Cross multiply
    76,469x = 179,915 × 179,915
  4. Step 4: Simplify right side
    76,469x = 32,369,407,225
  5. Step 5: Solve for x
    x = 32,369,407,225/76,469
  6. Step 6: Final answer
    x = 423,301.04

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Why These Related Problems?

These problems maintain the same ratio (2.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.