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Finding the Third Proportional to 53.69 and 71.38

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Solution

The third proportional to 53.69 and 71.38 is: 94.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    53.69 : 71.38 = 71.38 : x
  2. Step 2: Convert to fraction form
    53.69/71.38 = 71.38/x
  3. Step 3: Cross multiply
    53.69x = 71.38 × 71.38
  4. Step 4: Simplify right side
    53.69x = 5,094.39
  5. Step 5: Solve for x
    x = 5,094.39/53.69
  6. Step 6: Final answer
    x = 94.89

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Why These Related Problems?

These problems maintain the same ratio (1.33) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.