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Finding the Third Proportional to 134.55 and 269.10

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Solution

The third proportional to 134.55 and 269.10 is: 538.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    134.55 : 269.10 = 269.10 : x
  2. Step 2: Convert to fraction form
    134.55/269.10 = 269.10/x
  3. Step 3: Cross multiply
    134.55x = 269.10 × 269.10
  4. Step 4: Simplify right side
    134.55x = 72,416.70
  5. Step 5: Solve for x
    x = 72,416.70/134.55
  6. Step 6: Final answer
    x = 538.21

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Why These Related Problems?

These problems maintain the same ratio (2) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.