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Finding the Third Proportional to 130.13 and 199.69

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Solution

The third proportional to 130.13 and 199.69 is: 306.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    130.13 : 199.69 = 199.69 : x
  2. Step 2: Convert to fraction form
    130.13/199.69 = 199.69/x
  3. Step 3: Cross multiply
    130.13x = 199.69 × 199.69
  4. Step 4: Simplify right side
    130.13x = 39,875.10
  5. Step 5: Solve for x
    x = 39,875.10/130.13
  6. Step 6: Final answer
    x = 306.44

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.