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Finding the Third Proportional to 53.94 and 121.81

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Solution

The third proportional to 53.94 and 121.81 is: 275.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    53.94 : 121.81 = 121.81 : x
  2. Step 2: Convert to fraction form
    53.94/121.81 = 121.81/x
  3. Step 3: Cross multiply
    53.94x = 121.81 × 121.81
  4. Step 4: Simplify right side
    53.94x = 14,838.29
  5. Step 5: Solve for x
    x = 14,838.29/53.94
  6. Step 6: Final answer
    x = 275.10

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Why These Related Problems?

These problems maintain the same ratio (2.26) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.