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Finding the Third Proportional to 53.13 and 79.81

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Solution

The third proportional to 53.13 and 79.81 is: 119.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    53.13 : 79.81 = 79.81 : x
  2. Step 2: Convert to fraction form
    53.13/79.81 = 79.81/x
  3. Step 3: Cross multiply
    53.13x = 79.81 × 79.81
  4. Step 4: Simplify right side
    53.13x = 6,370.04
  5. Step 5: Solve for x
    x = 6,370.04/53.13
  6. Step 6: Final answer
    x = 119.91

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.