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Finding the Third Proportional to 78 and 141.75

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Solution

The third proportional to 78 and 141.75 is: 257.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    78 : 141.75 = 141.75 : x
  2. Step 2: Convert to fraction form
    78/141.75 = 141.75/x
  3. Step 3: Cross multiply
    78x = 141.75 × 141.75
  4. Step 4: Simplify right side
    78x = 20,093.06
  5. Step 5: Solve for x
    x = 20,093.06/78
  6. Step 6: Final answer
    x = 257.60

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These problems maintain the same ratio (1.82) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.