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Finding the Third Proportional to 694.20 and 1,030.85

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Solution

The third proportional to 694.20 and 1,030.85 is: 1,530.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    694.20 : 1,030.85 = 1,030.85 : x
  2. Step 2: Convert to fraction form
    694.20/1,030.85 = 1,030.85/x
  3. Step 3: Cross multiply
    694.20x = 1,030.85 × 1,030.85
  4. Step 4: Simplify right side
    694.20x = 1,062,654.94
  5. Step 5: Solve for x
    x = 1,062,654.94/694.20
  6. Step 6: Final answer
    x = 1,530.77

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Why These Related Problems?

These problems maintain the same ratio (1.48) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.