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Finding the Third Proportional to 78 and 185.63

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Solution

The third proportional to 78 and 185.63 is: 441.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    78 : 185.63 = 185.63 : x
  2. Step 2: Convert to fraction form
    78/185.63 = 185.63/x
  3. Step 3: Cross multiply
    78x = 185.63 × 185.63
  4. Step 4: Simplify right side
    78x = 34,456.64
  5. Step 5: Solve for x
    x = 34,456.64/78
  6. Step 6: Final answer
    x = 441.75

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Why These Related Problems?

These problems maintain the same ratio (2.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.