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Finding the Third Proportional to 35.31 and 51.09

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Solution

The third proportional to 35.31 and 51.09 is: 73.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    35.31 : 51.09 = 51.09 : x
  2. Step 2: Convert to fraction form
    35.31/51.09 = 51.09/x
  3. Step 3: Cross multiply
    35.31x = 51.09 × 51.09
  4. Step 4: Simplify right side
    35.31x = 2,610.57
  5. Step 5: Solve for x
    x = 2,610.57/35.31
  6. Step 6: Final answer
    x = 73.93

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Why These Related Problems?

These problems maintain the same ratio (1.45) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.