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Finding the Third Proportional to 56.93 and 90.75

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Solution

The third proportional to 56.93 and 90.75 is: 144.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    56.93 : 90.75 = 90.75 : x
  2. Step 2: Convert to fraction form
    56.93/90.75 = 90.75/x
  3. Step 3: Cross multiply
    56.93x = 90.75 × 90.75
  4. Step 4: Simplify right side
    56.93x = 8,235.89
  5. Step 5: Solve for x
    x = 8,235.89/56.93
  6. Step 6: Final answer
    x = 144.66

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.