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Finding the Third Proportional to 175.50 and 312.88

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Solution

The third proportional to 175.50 and 312.88 is: 557.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    175.50 : 312.88 = 312.88 : x
  2. Step 2: Convert to fraction form
    175.50/312.88 = 312.88/x
  3. Step 3: Cross multiply
    175.50x = 312.88 × 312.88
  4. Step 4: Simplify right side
    175.50x = 97,890.77
  5. Step 5: Solve for x
    x = 97,890.77/175.50
  6. Step 6: Final answer
    x = 557.78

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Why These Related Problems?

These problems maintain the same ratio (1.78) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.