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Finding the Third Proportional to 222.47 and 483.39

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Solution

The third proportional to 222.47 and 483.39 is: 1,050.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    222.47 : 483.39 = 483.39 : x
  2. Step 2: Convert to fraction form
    222.47/483.39 = 483.39/x
  3. Step 3: Cross multiply
    222.47x = 483.39 × 483.39
  4. Step 4: Simplify right side
    222.47x = 233,665.55
  5. Step 5: Solve for x
    x = 233,665.55/222.47
  6. Step 6: Final answer
    x = 1,050.31

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.