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Finding the Third Proportional to 233.63 and 353.38

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Solution

The third proportional to 233.63 and 353.38 is: 534.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    233.63 : 353.38 = 353.38 : x
  2. Step 2: Convert to fraction form
    233.63/353.38 = 353.38/x
  3. Step 3: Cross multiply
    233.63x = 353.38 × 353.38
  4. Step 4: Simplify right side
    233.63x = 124,873.89
  5. Step 5: Solve for x
    x = 124,873.89/233.63
  6. Step 6: Final answer
    x = 534.51

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.