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Finding the Third Proportional to 53.16 and 83.53

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Solution

The third proportional to 53.16 and 83.53 is: 131.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    53.16 : 83.53 = 83.53 : x
  2. Step 2: Convert to fraction form
    53.16/83.53 = 83.53/x
  3. Step 3: Cross multiply
    53.16x = 83.53 × 83.53
  4. Step 4: Simplify right side
    53.16x = 6,977.47
  5. Step 5: Solve for x
    x = 6,977.47/53.16
  6. Step 6: Final answer
    x = 131.26

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Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.