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Finding the Third Proportional to 218.64 and 471.13

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Solution

The third proportional to 218.64 and 471.13 is: 1,015.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    218.64 : 471.13 = 471.13 : x
  2. Step 2: Convert to fraction form
    218.64/471.13 = 471.13/x
  3. Step 3: Cross multiply
    218.64x = 471.13 × 471.13
  4. Step 4: Simplify right side
    218.64x = 221,962.45
  5. Step 5: Solve for x
    x = 221,962.45/218.64
  6. Step 6: Final answer
    x = 1,015.21

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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.