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Finding the Third Proportional to 56 and 90.50

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Solution

The third proportional to 56 and 90.50 is: 146.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    56 : 90.50 = 90.50 : x
  2. Step 2: Convert to fraction form
    56/90.50 = 90.50/x
  3. Step 3: Cross multiply
    56x = 90.50 × 90.50
  4. Step 4: Simplify right side
    56x = 8,190.25
  5. Step 5: Solve for x
    x = 8,190.25/56
  6. Step 6: Final answer
    x = 146.25

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Why These Related Problems?

These problems maintain the same ratio (1.62) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.