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Finding the Third Proportional to 219,873 and 447,426

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Solution

The third proportional to 219,873 and 447,426 is: 910,480.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    219,873 : 447,426 = 447,426 : x
  2. Step 2: Convert to fraction form
    219,873/447,426 = 447,426/x
  3. Step 3: Cross multiply
    219,873x = 447,426 × 447,426
  4. Step 4: Simplify right side
    219,873x = 200,190,025,476
  5. Step 5: Solve for x
    x = 200,190,025,476/219,873
  6. Step 6: Final answer
    x = 910,480.26

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Why These Related Problems?

These problems maintain the same ratio (2.03) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.