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Finding the Third Proportional to 77,330 and 102,819

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Solution

The third proportional to 77,330 and 102,819 is: 136,709.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    77,330 : 102,819 = 102,819 : x
  2. Step 2: Convert to fraction form
    77,330/102,819 = 102,819/x
  3. Step 3: Cross multiply
    77,330x = 102,819 × 102,819
  4. Step 4: Simplify right side
    77,330x = 10,571,746,761
  5. Step 5: Solve for x
    x = 10,571,746,761/77,330
  6. Step 6: Final answer
    x = 136,709.51

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Why These Related Problems?

These problems maintain the same ratio (1.33) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.