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Finding the Third Proportional to 222.66 and 487.78

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Solution

The third proportional to 222.66 and 487.78 is: 1,068.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    222.66 : 487.78 = 487.78 : x
  2. Step 2: Convert to fraction form
    222.66/487.78 = 487.78/x
  3. Step 3: Cross multiply
    222.66x = 487.78 × 487.78
  4. Step 4: Simplify right side
    222.66x = 237,930.55
  5. Step 5: Solve for x
    x = 237,930.55/222.66
  6. Step 6: Final answer
    x = 1,068.60

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.