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Finding the Third Proportional to 130.23 and 201.90

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Solution

The third proportional to 130.23 and 201.90 is: 313.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    130.23 : 201.90 = 201.90 : x
  2. Step 2: Convert to fraction form
    130.23/201.90 = 201.90/x
  3. Step 3: Cross multiply
    130.23x = 201.90 × 201.90
  4. Step 4: Simplify right side
    130.23x = 40,764.56
  5. Step 5: Solve for x
    x = 40,764.56/130.23
  6. Step 6: Final answer
    x = 313.02

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.