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Finding the Third Proportional to 53.75 and 93.38

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Solution

The third proportional to 53.75 and 93.38 is: 162.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    53.75 : 93.38 = 93.38 : x
  2. Step 2: Convert to fraction form
    53.75/93.38 = 93.38/x
  3. Step 3: Cross multiply
    53.75x = 93.38 × 93.38
  4. Step 4: Simplify right side
    53.75x = 8,718.89
  5. Step 5: Solve for x
    x = 8,718.89/53.75
  6. Step 6: Final answer
    x = 162.21

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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.