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Finding the Third Proportional to 219.09 and 472.34

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Solution

The third proportional to 219.09 and 472.34 is: 1,018.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    219.09 : 472.34 = 472.34 : x
  2. Step 2: Convert to fraction form
    219.09/472.34 = 472.34/x
  3. Step 3: Cross multiply
    219.09x = 472.34 × 472.34
  4. Step 4: Simplify right side
    219.09x = 223,108.62
  5. Step 5: Solve for x
    x = 223,108.62/219.09
  6. Step 6: Final answer
    x = 1,018.32

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.