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Finding the Third Proportional to 217.55 and 357.14

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Solution

The third proportional to 217.55 and 357.14 is: 586.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    217.55 : 357.14 = 357.14 : x
  2. Step 2: Convert to fraction form
    217.55/357.14 = 357.14/x
  3. Step 3: Cross multiply
    217.55x = 357.14 × 357.14
  4. Step 4: Simplify right side
    217.55x = 127,549.43
  5. Step 5: Solve for x
    x = 127,549.43/217.55
  6. Step 6: Final answer
    x = 586.29

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Why These Related Problems?

These problems maintain the same ratio (1.64) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.