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Finding the Third Proportional to 1,685.11 and 2,586.38

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Solution

The third proportional to 1,685.11 and 2,586.38 is: 3,969.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,685.11 : 2,586.38 = 2,586.38 : x
  2. Step 2: Convert to fraction form
    1,685.11/2,586.38 = 2,586.38/x
  3. Step 3: Cross multiply
    1,685.11x = 2,586.38 × 2,586.38
  4. Step 4: Simplify right side
    1,685.11x = 6,689,335.64
  5. Step 5: Solve for x
    x = 6,689,335.64/1,685.11
  6. Step 6: Final answer
    x = 3,969.67

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.