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Finding the Third Proportional to 130.28 and 190.08

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Solution

The third proportional to 130.28 and 190.08 is: 277.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    130.28 : 190.08 = 190.08 : x
  2. Step 2: Convert to fraction form
    130.28/190.08 = 190.08/x
  3. Step 3: Cross multiply
    130.28x = 190.08 × 190.08
  4. Step 4: Simplify right side
    130.28x = 36,130.81
  5. Step 5: Solve for x
    x = 36,130.81/130.28
  6. Step 6: Final answer
    x = 277.33

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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.