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Finding the Third Proportional to 222.13 and 487.31

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Solution

The third proportional to 222.13 and 487.31 is: 1,069.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    222.13 : 487.31 = 487.31 : x
  2. Step 2: Convert to fraction form
    222.13/487.31 = 487.31/x
  3. Step 3: Cross multiply
    222.13x = 487.31 × 487.31
  4. Step 4: Simplify right side
    222.13x = 237,473.47
  5. Step 5: Solve for x
    x = 237,473.47/222.13
  6. Step 6: Final answer
    x = 1,069.10

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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.