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Finding the Third Proportional to 139.30 and 294.65

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Solution

The third proportional to 139.30 and 294.65 is: 623.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    139.30 : 294.65 = 294.65 : x
  2. Step 2: Convert to fraction form
    139.30/294.65 = 294.65/x
  3. Step 3: Cross multiply
    139.30x = 294.65 × 294.65
  4. Step 4: Simplify right side
    139.30x = 86,820.58
  5. Step 5: Solve for x
    x = 86,820.58/139.30
  6. Step 6: Final answer
    x = 623.27

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.