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Finding the Third Proportional to 76,330 and 102,831

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Solution

The third proportional to 76,330 and 102,831 is: 138,532.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,330 : 102,831 = 102,831 : x
  2. Step 2: Convert to fraction form
    76,330/102,831 = 102,831/x
  3. Step 3: Cross multiply
    76,330x = 102,831 × 102,831
  4. Step 4: Simplify right side
    76,330x = 10,574,214,561
  5. Step 5: Solve for x
    x = 10,574,214,561/76,330
  6. Step 6: Final answer
    x = 138,532.88

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Why These Related Problems?

These problems maintain the same ratio (1.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.