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Finding the Third Proportional to 686.46 and 1,618.95

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Solution

The third proportional to 686.46 and 1,618.95 is: 3,818.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    686.46 : 1,618.95 = 1,618.95 : x
  2. Step 2: Convert to fraction form
    686.46/1,618.95 = 1,618.95/x
  3. Step 3: Cross multiply
    686.46x = 1,618.95 × 1,618.95
  4. Step 4: Simplify right side
    686.46x = 2,620,983.92
  5. Step 5: Solve for x
    x = 2,620,983.92/686.46
  6. Step 6: Final answer
    x = 3,818.11

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Why These Related Problems?

These problems maintain the same ratio (2.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.