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Finding the Third Proportional to 229.78 and 482.34

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Solution

The third proportional to 229.78 and 482.34 is: 1,012.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    229.78 : 482.34 = 482.34 : x
  2. Step 2: Convert to fraction form
    229.78/482.34 = 482.34/x
  3. Step 3: Cross multiply
    229.78x = 482.34 × 482.34
  4. Step 4: Simplify right side
    229.78x = 232,655.49
  5. Step 5: Solve for x
    x = 232,655.49/229.78
  6. Step 6: Final answer
    x = 1,012.51

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Why These Related Problems?

These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.