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Finding the Third Proportional to 78.98 and 121.86

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Solution

The third proportional to 78.98 and 121.86 is: 188.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    78.98 : 121.86 = 121.86 : x
  2. Step 2: Convert to fraction form
    78.98/121.86 = 121.86/x
  3. Step 3: Cross multiply
    78.98x = 121.86 × 121.86
  4. Step 4: Simplify right side
    78.98x = 14,849.71
  5. Step 5: Solve for x
    x = 14,849.71/78.98
  6. Step 6: Final answer
    x = 188.01

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These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.