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Finding the Third Proportional to 78.33 and 112.83

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Solution

The third proportional to 78.33 and 112.83 is: 162.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    78.33 : 112.83 = 112.83 : x
  2. Step 2: Convert to fraction form
    78.33/112.83 = 112.83/x
  3. Step 3: Cross multiply
    78.33x = 112.83 × 112.83
  4. Step 4: Simplify right side
    78.33x = 12,730.19
  5. Step 5: Solve for x
    x = 12,730.19/78.33
  6. Step 6: Final answer
    x = 162.52

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These problems maintain the same ratio (1.44) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.