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Finding the Third Proportional to 210,819 and 276,790

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Solution

The third proportional to 210,819 and 276,790 is: 363,405.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    210,819 : 276,790 = 276,790 : x
  2. Step 2: Convert to fraction form
    210,819/276,790 = 276,790/x
  3. Step 3: Cross multiply
    210,819x = 276,790 × 276,790
  4. Step 4: Simplify right side
    210,819x = 76,612,704,100
  5. Step 5: Solve for x
    x = 76,612,704,100/210,819
  6. Step 6: Final answer
    x = 363,405.12

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Why These Related Problems?

These problems maintain the same ratio (1.31) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.