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Finding the Third Proportional to 210,329 and 305,894

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Solution

The third proportional to 210,329 and 305,894 is: 444,879.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    210,329 : 305,894 = 305,894 : x
  2. Step 2: Convert to fraction form
    210,329/305,894 = 305,894/x
  3. Step 3: Cross multiply
    210,329x = 305,894 × 305,894
  4. Step 4: Simplify right side
    210,329x = 93,571,139,236
  5. Step 5: Solve for x
    x = 93,571,139,236/210,329
  6. Step 6: Final answer
    x = 444,879.88

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Why These Related Problems?

These problems maintain the same ratio (1.45) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.