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Finding the Third Proportional to 101.04 and 218.16

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Solution

The third proportional to 101.04 and 218.16 is: 471.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    101.04 : 218.16 = 218.16 : x
  2. Step 2: Convert to fraction form
    101.04/218.16 = 218.16/x
  3. Step 3: Cross multiply
    101.04x = 218.16 × 218.16
  4. Step 4: Simplify right side
    101.04x = 47,594.71
  5. Step 5: Solve for x
    x = 47,594.71/101.04
  6. Step 6: Final answer
    x = 471.05

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.