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Finding the Third Proportional to 203.45 and 312.29

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Solution

The third proportional to 203.45 and 312.29 is: 479.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    203.45 : 312.29 = 312.29 : x
  2. Step 2: Convert to fraction form
    203.45/312.29 = 312.29/x
  3. Step 3: Cross multiply
    203.45x = 312.29 × 312.29
  4. Step 4: Simplify right side
    203.45x = 97,526.90
  5. Step 5: Solve for x
    x = 97,526.90/203.45
  6. Step 6: Final answer
    x = 479.37

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.