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Finding the Third Proportional to 294.19 and 639.28

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Solution

The third proportional to 294.19 and 639.28 is: 1,389.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    294.19 : 639.28 = 639.28 : x
  2. Step 2: Convert to fraction form
    294.19/639.28 = 639.28/x
  3. Step 3: Cross multiply
    294.19x = 639.28 × 639.28
  4. Step 4: Simplify right side
    294.19x = 408,680.52
  5. Step 5: Solve for x
    x = 408,680.52/294.19
  6. Step 6: Final answer
    x = 1,389.18

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.