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Finding the Third Proportional to 30.50 and 53.13

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Solution

The third proportional to 30.50 and 53.13 is: 92.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    30.50 : 53.13 = 53.13 : x
  2. Step 2: Convert to fraction form
    30.50/53.13 = 53.13/x
  3. Step 3: Cross multiply
    30.50x = 53.13 × 53.13
  4. Step 4: Simplify right side
    30.50x = 2,822.27
  5. Step 5: Solve for x
    x = 2,822.27/30.50
  6. Step 6: Final answer
    x = 92.53

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Why These Related Problems?

These problems maintain the same ratio (1.74) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.