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Finding the Third Proportional to 669.56 and 1,029.96

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Solution

The third proportional to 669.56 and 1,029.96 is: 1,584.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    669.56 : 1,029.96 = 1,029.96 : x
  2. Step 2: Convert to fraction form
    669.56/1,029.96 = 1,029.96/x
  3. Step 3: Cross multiply
    669.56x = 1,029.96 × 1,029.96
  4. Step 4: Simplify right side
    669.56x = 1,060,821.04
  5. Step 5: Solve for x
    x = 1,060,821.04/669.56
  6. Step 6: Final answer
    x = 1,584.37

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.