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Finding the Third Proportional to 217,039.50 and 444,636

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Solution

The third proportional to 217,039.50 and 444,636 is: 910,899.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    217,039.50 : 444,636 = 444,636 : x
  2. Step 2: Convert to fraction form
    217,039.50/444,636 = 444,636/x
  3. Step 3: Cross multiply
    217,039.50x = 444,636 × 444,636
  4. Step 4: Simplify right side
    217,039.50x = 197,701,172,496
  5. Step 5: Solve for x
    x = 197,701,172,496/217,039.50
  6. Step 6: Final answer
    x = 910,899.50

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Why These Related Problems?

These problems maintain the same ratio (2.05) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.