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Finding the Third Proportional to 218.06 and 469.56

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Solution

The third proportional to 218.06 and 469.56 is: 1,011.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    218.06 : 469.56 = 469.56 : x
  2. Step 2: Convert to fraction form
    218.06/469.56 = 469.56/x
  3. Step 3: Cross multiply
    218.06x = 469.56 × 469.56
  4. Step 4: Simplify right side
    218.06x = 220,488.94
  5. Step 5: Solve for x
    x = 220,488.94/218.06
  6. Step 6: Final answer
    x = 1,011.13

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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.