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Finding the Third Proportional to 53.93 and 122.81

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Solution

The third proportional to 53.93 and 122.81 is: 279.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    53.93 : 122.81 = 122.81 : x
  2. Step 2: Convert to fraction form
    53.93/122.81 = 122.81/x
  3. Step 3: Cross multiply
    53.93x = 122.81 × 122.81
  4. Step 4: Simplify right side
    53.93x = 15,081.11
  5. Step 5: Solve for x
    x = 15,081.11/53.93
  6. Step 6: Final answer
    x = 279.66

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Why These Related Problems?

These problems maintain the same ratio (2.28) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.