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Finding the Third Proportional to 118.65 and 260.09

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Solution

The third proportional to 118.65 and 260.09 is: 570.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    118.65 : 260.09 = 260.09 : x
  2. Step 2: Convert to fraction form
    118.65/260.09 = 260.09/x
  3. Step 3: Cross multiply
    118.65x = 260.09 × 260.09
  4. Step 4: Simplify right side
    118.65x = 67,644.69
  5. Step 5: Solve for x
    x = 67,644.69/118.65
  6. Step 6: Final answer
    x = 570.11

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.