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Finding the Third Proportional to 53 and 83.13

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Solution

The third proportional to 53 and 83.13 is: 130.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    53 : 83.13 = 83.13 : x
  2. Step 2: Convert to fraction form
    53/83.13 = 83.13/x
  3. Step 3: Cross multiply
    53x = 83.13 × 83.13
  4. Step 4: Simplify right side
    53x = 6,909.77
  5. Step 5: Solve for x
    x = 6,909.77/53
  6. Step 6: Final answer
    x = 130.37

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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.