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Finding the Third Proportional to 213.89 and 460.48

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Solution

The third proportional to 213.89 and 460.48 is: 991.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    213.89 : 460.48 = 460.48 : x
  2. Step 2: Convert to fraction form
    213.89/460.48 = 460.48/x
  3. Step 3: Cross multiply
    213.89x = 460.48 × 460.48
  4. Step 4: Simplify right side
    213.89x = 212,038.66
  5. Step 5: Solve for x
    x = 212,038.66/213.89
  6. Step 6: Final answer
    x = 991.34

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.