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Finding the Third Proportional to 53.39 and 83.29

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Solution

The third proportional to 53.39 and 83.29 is: 129.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    53.39 : 83.29 = 83.29 : x
  2. Step 2: Convert to fraction form
    53.39/83.29 = 83.29/x
  3. Step 3: Cross multiply
    53.39x = 83.29 × 83.29
  4. Step 4: Simplify right side
    53.39x = 6,937.88
  5. Step 5: Solve for x
    x = 6,937.88/53.39
  6. Step 6: Final answer
    x = 129.94

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.