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Finding the Third Proportional to 218.56 and 514.06

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Solution

The third proportional to 218.56 and 514.06 is: 1,209.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    218.56 : 514.06 = 514.06 : x
  2. Step 2: Convert to fraction form
    218.56/514.06 = 514.06/x
  3. Step 3: Cross multiply
    218.56x = 514.06 × 514.06
  4. Step 4: Simplify right side
    218.56x = 264,260.25
  5. Step 5: Solve for x
    x = 264,260.25/218.56
  6. Step 6: Final answer
    x = 1,209.08

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Why These Related Problems?

These problems maintain the same ratio (2.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.