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Finding the Third Proportional to 82.90 and 113.80

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Solution

The third proportional to 82.90 and 113.80 is: 156.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    82.90 : 113.80 = 113.80 : x
  2. Step 2: Convert to fraction form
    82.90/113.80 = 113.80/x
  3. Step 3: Cross multiply
    82.90x = 113.80 × 113.80
  4. Step 4: Simplify right side
    82.90x = 12,950.62
  5. Step 5: Solve for x
    x = 12,950.62/82.90
  6. Step 6: Final answer
    x = 156.22

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.