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Finding the Third Proportional to 27.31 and 64.44

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Solution

The third proportional to 27.31 and 64.44 is: 152.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    27.31 : 64.44 = 64.44 : x
  2. Step 2: Convert to fraction form
    27.31/64.44 = 64.44/x
  3. Step 3: Cross multiply
    27.31x = 64.44 × 64.44
  4. Step 4: Simplify right side
    27.31x = 4,152.19
  5. Step 5: Solve for x
    x = 4,152.19/27.31
  6. Step 6: Final answer
    x = 152.03

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Why These Related Problems?

These problems maintain the same ratio (2.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.