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Finding the Third Proportional to 78.63 and 115.63

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Solution

The third proportional to 78.63 and 115.63 is: 170.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    78.63 : 115.63 = 115.63 : x
  2. Step 2: Convert to fraction form
    78.63/115.63 = 115.63/x
  3. Step 3: Cross multiply
    78.63x = 115.63 × 115.63
  4. Step 4: Simplify right side
    78.63x = 13,369.14
  5. Step 5: Solve for x
    x = 13,369.14/78.63
  6. Step 6: Final answer
    x = 170.04

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.