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Finding the Third Proportional to 77.40 and 113.35

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Solution

The third proportional to 77.40 and 113.35 is: 166.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    77.40 : 113.35 = 113.35 : x
  2. Step 2: Convert to fraction form
    77.40/113.35 = 113.35/x
  3. Step 3: Cross multiply
    77.40x = 113.35 × 113.35
  4. Step 4: Simplify right side
    77.40x = 12,848.80
  5. Step 5: Solve for x
    x = 12,848.80/77.40
  6. Step 6: Final answer
    x = 166.00

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.