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Finding the Third Proportional to 686.81 and 1,479.94

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Solution

The third proportional to 686.81 and 1,479.94 is: 3,188.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    686.81 : 1,479.94 = 1,479.94 : x
  2. Step 2: Convert to fraction form
    686.81/1,479.94 = 1,479.94/x
  3. Step 3: Cross multiply
    686.81x = 1,479.94 × 1,479.94
  4. Step 4: Simplify right side
    686.81x = 2,190,215.00
  5. Step 5: Solve for x
    x = 2,190,215.00/686.81
  6. Step 6: Final answer
    x = 3,188.96

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.