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Finding the Third Proportional to 127 and 214.13

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Solution

The third proportional to 127 and 214.13 is: 361.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    127 : 214.13 = 214.13 : x
  2. Step 2: Convert to fraction form
    127/214.13 = 214.13/x
  3. Step 3: Cross multiply
    127x = 214.13 × 214.13
  4. Step 4: Simplify right side
    127x = 45,849.52
  5. Step 5: Solve for x
    x = 45,849.52/127
  6. Step 6: Final answer
    x = 361.02

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Why These Related Problems?

These problems maintain the same ratio (1.69) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.