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Finding the Third Proportional to 686.81 and 1,660.08

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Solution

The third proportional to 686.81 and 1,660.08 is: 4,012.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    686.81 : 1,660.08 = 1,660.08 : x
  2. Step 2: Convert to fraction form
    686.81/1,660.08 = 1,660.08/x
  3. Step 3: Cross multiply
    686.81x = 1,660.08 × 1,660.08
  4. Step 4: Simplify right side
    686.81x = 2,755,859.38
  5. Step 5: Solve for x
    x = 2,755,859.38/686.81
  6. Step 6: Final answer
    x = 4,012.54

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Why These Related Problems?

These problems maintain the same ratio (2.42) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.