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Finding the Third Proportional to 76,230 and 162,288

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Solution

The third proportional to 76,230 and 162,288 is: 345,499.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,230 : 162,288 = 162,288 : x
  2. Step 2: Convert to fraction form
    76,230/162,288 = 162,288/x
  3. Step 3: Cross multiply
    76,230x = 162,288 × 162,288
  4. Step 4: Simplify right side
    76,230x = 26,337,394,944
  5. Step 5: Solve for x
    x = 26,337,394,944/76,230
  6. Step 6: Final answer
    x = 345,499.08

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.