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Finding the Third Proportional to 221.50 and 312.50

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Solution

The third proportional to 221.50 and 312.50 is: 440.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    221.50 : 312.50 = 312.50 : x
  2. Step 2: Convert to fraction form
    221.50/312.50 = 312.50/x
  3. Step 3: Cross multiply
    221.50x = 312.50 × 312.50
  4. Step 4: Simplify right side
    221.50x = 97,656.25
  5. Step 5: Solve for x
    x = 97,656.25/221.50
  6. Step 6: Final answer
    x = 440.89

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Why These Related Problems?

These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.