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Finding the Third Proportional to 690.81 and 1,093.88

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Solution

The third proportional to 690.81 and 1,093.88 is: 1,732.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    690.81 : 1,093.88 = 1,093.88 : x
  2. Step 2: Convert to fraction form
    690.81/1,093.88 = 1,093.88/x
  3. Step 3: Cross multiply
    690.81x = 1,093.88 × 1,093.88
  4. Step 4: Simplify right side
    690.81x = 1,196,562.52
  5. Step 5: Solve for x
    x = 1,196,562.52/690.81
  6. Step 6: Final answer
    x = 1,732.11

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Why These Related Problems?

These problems maintain the same ratio (1.58) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.