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Finding the Third Proportional to 639.94 and 1,455.84

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Solution

The third proportional to 639.94 and 1,455.84 is: 3,312.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    639.94 : 1,455.84 = 1,455.84 : x
  2. Step 2: Convert to fraction form
    639.94/1,455.84 = 1,455.84/x
  3. Step 3: Cross multiply
    639.94x = 1,455.84 × 1,455.84
  4. Step 4: Simplify right side
    639.94x = 2,119,481.02
  5. Step 5: Solve for x
    x = 2,119,481.02/639.94
  6. Step 6: Final answer
    x = 3,312.01

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Why These Related Problems?

These problems maintain the same ratio (2.27) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.