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Finding the Third Proportional to 141.05 and 288.95

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Solution

The third proportional to 141.05 and 288.95 is: 591.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    141.05 : 288.95 = 288.95 : x
  2. Step 2: Convert to fraction form
    141.05/288.95 = 288.95/x
  3. Step 3: Cross multiply
    141.05x = 288.95 × 288.95
  4. Step 4: Simplify right side
    141.05x = 83,491.65
  5. Step 5: Solve for x
    x = 83,491.65/141.05
  6. Step 6: Final answer
    x = 591.94

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Why These Related Problems?

These problems maintain the same ratio (2.05) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.