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Finding the Third Proportional to 220.56 and 469.66

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Solution

The third proportional to 220.56 and 469.66 is: 1,000.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    220.56 : 469.66 = 469.66 : x
  2. Step 2: Convert to fraction form
    220.56/469.66 = 469.66/x
  3. Step 3: Cross multiply
    220.56x = 469.66 × 469.66
  4. Step 4: Simplify right side
    220.56x = 220,576.99
  5. Step 5: Solve for x
    x = 220,576.99/220.56
  6. Step 6: Final answer
    x = 1,000.07

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.