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Finding the Third Proportional to 675.02 and 1,396.88

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Solution

The third proportional to 675.02 and 1,396.88 is: 2,890.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    675.02 : 1,396.88 = 1,396.88 : x
  2. Step 2: Convert to fraction form
    675.02/1,396.88 = 1,396.88/x
  3. Step 3: Cross multiply
    675.02x = 1,396.88 × 1,396.88
  4. Step 4: Simplify right side
    675.02x = 1,951,259.77
  5. Step 5: Solve for x
    x = 1,951,259.77/675.02
  6. Step 6: Final answer
    x = 2,890.65

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Why These Related Problems?

These problems maintain the same ratio (2.07) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.