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Finding the Third Proportional to 50.25 and 85.63

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Solution

The third proportional to 50.25 and 85.63 is: 145.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    50.25 : 85.63 = 85.63 : x
  2. Step 2: Convert to fraction form
    50.25/85.63 = 85.63/x
  3. Step 3: Cross multiply
    50.25x = 85.63 × 85.63
  4. Step 4: Simplify right side
    50.25x = 7,331.64
  5. Step 5: Solve for x
    x = 7,331.64/50.25
  6. Step 6: Final answer
    x = 145.90

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Why These Related Problems?

These problems maintain the same ratio (1.70) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.