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Finding the Third Proportional to 1,688.73 and 2,697.80

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Solution

The third proportional to 1,688.73 and 2,697.80 is: 4,309.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,688.73 : 2,697.80 = 2,697.80 : x
  2. Step 2: Convert to fraction form
    1,688.73/2,697.80 = 2,697.80/x
  3. Step 3: Cross multiply
    1,688.73x = 2,697.80 × 2,697.80
  4. Step 4: Simplify right side
    1,688.73x = 7,278,107.98
  5. Step 5: Solve for x
    x = 7,278,107.98/1,688.73
  6. Step 6: Final answer
    x = 4,309.81

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Why These Related Problems?

These problems maintain the same ratio (1.60) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.