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Finding the Third Proportional to 214.31 and 460.90

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Solution

The third proportional to 214.31 and 460.90 is: 991.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    214.31 : 460.90 = 460.90 : x
  2. Step 2: Convert to fraction form
    214.31/460.90 = 460.90/x
  3. Step 3: Cross multiply
    214.31x = 460.90 × 460.90
  4. Step 4: Simplify right side
    214.31x = 212,427.37
  5. Step 5: Solve for x
    x = 212,427.37/214.31
  6. Step 6: Final answer
    x = 991.20

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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.