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Finding the Third Proportional to 53.27 and 55.65

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Solution

The third proportional to 53.27 and 55.65 is: 58.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    53.27 : 55.65 = 55.65 : x
  2. Step 2: Convert to fraction form
    53.27/55.65 = 55.65/x
  3. Step 3: Cross multiply
    53.27x = 55.65 × 55.65
  4. Step 4: Simplify right side
    53.27x = 3,096.41
  5. Step 5: Solve for x
    x = 3,096.41/53.27
  6. Step 6: Final answer
    x = 58.13

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Why These Related Problems?

These problems maintain the same ratio (1.04) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.