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Finding the Third Proportional to 78 and 175.50

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Solution

The third proportional to 78 and 175.50 is: 394.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    78 : 175.50 = 175.50 : x
  2. Step 2: Convert to fraction form
    78/175.50 = 175.50/x
  3. Step 3: Cross multiply
    78x = 175.50 × 175.50
  4. Step 4: Simplify right side
    78x = 30,800.25
  5. Step 5: Solve for x
    x = 30,800.25/78
  6. Step 6: Final answer
    x = 394.88

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Why These Related Problems?

These problems maintain the same ratio (2.25) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.