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Finding the Third Proportional to 53.11 and 77.68

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Solution

The third proportional to 53.11 and 77.68 is: 113.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    53.11 : 77.68 = 77.68 : x
  2. Step 2: Convert to fraction form
    53.11/77.68 = 77.68/x
  3. Step 3: Cross multiply
    53.11x = 77.68 × 77.68
  4. Step 4: Simplify right side
    53.11x = 6,034.13
  5. Step 5: Solve for x
    x = 6,034.13/53.11
  6. Step 6: Final answer
    x = 113.62

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.