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Finding the Third Proportional to 229.06 and 509.31

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Solution

The third proportional to 229.06 and 509.31 is: 1,132.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    229.06 : 509.31 = 509.31 : x
  2. Step 2: Convert to fraction form
    229.06/509.31 = 509.31/x
  3. Step 3: Cross multiply
    229.06x = 509.31 × 509.31
  4. Step 4: Simplify right side
    229.06x = 259,399.22
  5. Step 5: Solve for x
    x = 259,399.22/229.06
  6. Step 6: Final answer
    x = 1,132.44

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Why These Related Problems?

These problems maintain the same ratio (2.22) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.