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Finding the Third Proportional to 214.31 and 277.59

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Solution

The third proportional to 214.31 and 277.59 is: 359.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    214.31 : 277.59 = 277.59 : x
  2. Step 2: Convert to fraction form
    214.31/277.59 = 277.59/x
  3. Step 3: Cross multiply
    214.31x = 277.59 × 277.59
  4. Step 4: Simplify right side
    214.31x = 77,058.29
  5. Step 5: Solve for x
    x = 77,058.29/214.31
  6. Step 6: Final answer
    x = 359.56

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Why These Related Problems?

These problems maintain the same ratio (1.30) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.